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201221020122102 = 23237302133663847
BaseRepresentation
bin101101110000001001101011…
…011011001111101111110110
3222101110112121212102000020200
4231300021223123033233312
5202333301122122401402
61551543354400141330
760245511314153421
oct5560115333175766
9871415555360220
10201221020122102
115912a3a0046282
121a699b94607846
1388380a36b5556
143799213adc9b8
15183e34934e21c
hexb7026b6cfbf6

201221020122102 has 24 divisors (see below), whose sum is σ = 447762089822736. Its totient is φ = 65260871390736.

The previous prime is 201221020122097. The next prime is 201221020122217.

It is a happy number.

201221020122102 is a `hidden beast` number, since 20 + 1 + 221 + 0 + 201 + 221 + 0 + 2 = 666.

201221020122102 is nontrivially palindromic in base 10.

201221020122102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 151066831258 + ... + 151066832589.

It is an arithmetic number, because the mean of its divisors is an integer number (18656753742614).

Almost surely, 2201221020122102 is an apocalyptic number.

201221020122102 is an abundant number, since it is smaller than the sum of its proper divisors (246541069700634).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201221020122102 is a wasteful number, since it uses less digits than its factorization.

201221020122102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302133663892 (or 302133663889 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

The spelling of 201221020122102 in words is "two hundred one trillion, two hundred twenty-one billion, twenty million, one hundred twenty-two thousand, one hundred two".

Divisors: 1 2 3 6 9 18 37 74 111 222 333 666 302133663847 604267327694 906400991541 1812801983082 2719202974623 5438405949246 11178945562339 22357891124678 33536836687017 67073673374034 100610510061051 201221020122102