Perfect number, a positive integer that is equal to the sum of its proper divisors. The smallest perfect number is 6, which is the sum of 1, 2, and 3. Other perfect numbers are 28, 496, and 8,128.

The first few palindromic numbers are therefore are 0, 1, 2, 3, 4, 5, 6, 7, 8, 9, 11, 22, 33, 44, 55, 66, 77, 88, 99, 101, 111, 121. The first few numbers whose squares are palindromic are 1, 2, 3, 11, 22, 26.

The Palindromic Two-Step (suitable for groups of four students) A palindrome is an expression which is the same written forwards as backwards. For example, 2, 44, 101, 8118, ‘race car’ and ‘radar’ are palindromes, while 13, 24, 245, and ‘auto’ are not. LEV.

Palindromes Semordnilap A palindrome is a word or phrase that is the same forwards and backwards, but a semordnilap (“palindromes” backwards) is a word that becomes a different word when read backwards.

An -digit number that is the sum of the th powers of its digits is called an -narcissistic number. It is also sometimes known as an Armstrong number, perfect digital invariant (Madachy 1979), or plus perfect number.

Strong number is a special number whose sum of the factorial of digits is equal to the original number. For Example: 145 is strong number.

Narcissistic personality disorder — one of several types of personality disorders — is a mental condition in which people have an inflated sense of their own importance, a deep need for excessive attention and admiration, troubled relationships, and a lack of empathy for others.

The thing that drives a narcissist crazy is the lack of control and the lack of a fight. The less you fight back, the less power you can give them over you, the better,” she says. And because they never think they’re wrong, they never apologize. About anything.

Narcissistic personality disorder (narcissism) is a psychiatric disorder characterized by a pattern of self-importance (grandiosity), a constant need for admiration and attention, and a lack of empathy for others. Because of this lack of empathy, a narcissist cannot really love you.

By saying “we” rather than “I” or “you,” you include yourself in the behaviour. The narcissist is probably so angry at you because you dared to defend yourself, so to try and stop the argument escalating further you can try and remind them you’re in this together, and it’ll be better off for everyone to stop.

A monumental weakness in the narcissist is the failure to look internally and flesh out what needs to be worked on. Then, of course, the next step is to spend time improving. The narcissist sabotages any possibility of looking deep within.

If you stand up to someone with a narcissistic personality, you can expect them to respond. Once you speak up and set boundaries, they may come back with some demands of their own. They may also try to manipulate you into feeling guilty or believing that you’re the one being unreasonable and controlling.