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22108129128 = 23321718062197
BaseRepresentation
bin10100100101101111…
…110100011101101000
32010001202100022202100
4110211233310131220
5330234140113003
614053433533400
71411600665651
oct244557643550
963052308670
1022108129128
11941550a6a8
12434bb74260
132114380917
1410da28a528
15895d8bba3
hex525bf4768

22108129128 has 48 divisors (see below), whose sum is σ = 63398314980. Its totient is φ = 6935883264.

The previous prime is 22108129123. The next prime is 22108129151. The reversal of 22108129128 is 82192180122.

It can be written as a sum of positive squares in 2 ways, for example, as 21780446724 + 327682404 = 147582^2 + 18102^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 22108129092 and 22108129101.

It is not an unprimeable number, because it can be changed into a prime (22108129123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9029875 + ... + 9032322.

Almost surely, 222108129128 is an apocalyptic number.

It is an amenable number.

22108129128 is an abundant number, since it is smaller than the sum of its proper divisors (41290185852).

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

22108129128 is a wasteful number, since it uses less digits than its factorization.

22108129128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18062226 (or 18062219 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 22108129128 in words is "twenty-two billion, one hundred eight million, one hundred twenty-nine thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 34 36 51 68 72 102 136 153 204 306 408 612 1224 18062197 36124394 54186591 72248788 108373182 144497576 162559773 216746364 307057349 325119546 433492728 614114698 650239092 921172047 1228229396 1300478184 1842344094 2456458792 2763516141 3684688188 5527032282 7369376376 11054064564 22108129128