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20122435044 = 223462106281
BaseRepresentation
bin10010101111011000…
…111111110111100100
31220221100220121120000
4102233120333313210
5312202320410134
613124421341300
71311436606245
oct225730776744
956840817500
1020122435044
118596654308
123a96b67830
131b88b74cca
14d8c676ccc
157cb8a2e99
hex4af63fde4

20122435044 has 30 divisors (see below), whose sum is σ = 52604020854. Its totient is φ = 6707478240.

The previous prime is 20122435027. The next prime is 20122435097. The reversal of 20122435044 is 44053422102.

20122435044 is a `hidden beast` number, since 201 + 22 + 435 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20118585600 + 3849444 = 141840^2 + 1962^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 20122434999 and 20122435017.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 31052817 + ... + 31053464.

Almost surely, 220122435044 is an apocalyptic number.

It is an amenable number.

20122435044 is an abundant number, since it is smaller than the sum of its proper divisors (32481585810).

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

20122435044 is a wasteful number, since it uses less digits than its factorization.

20122435044 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62106297 (or 62106286 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

Adding to 20122435044 its reverse (44053422102), we get a palindrome (64175857146).

The spelling of 20122435044 in words is "twenty billion, one hundred twenty-two million, four hundred thirty-five thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 62106281 124212562 186318843 248425124 372637686 558956529 745275372 1117913058 1676869587 2235826116 3353739174 5030608761 6707478348 10061217522 20122435044