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10022100032 = 267171315927
BaseRepresentation
bin10010101010101110…
…10001110001000000
3221212110100102200002
421111113101301000
5131011124200112
64334252215132
7503233305350
oct112527216100
927773312602
1010022100032
11428323a0aa
121b3846a4a8
13c39457709
146b1076b60
153d9cc61c2
hex2555d1c40

10022100032 has 56 divisors (see below), whose sum is σ = 24065691264. Its totient is φ = 4042524672.

The previous prime is 10022100007. The next prime is 10022100059. The reversal of 10022100032 is 23000122001.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (56).

It is a junction number, because it is equal to n+sod(n) for n = 10022099986 and 10022100022.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 650348 + ... + 665579.

Almost surely, 210022100032 is an apocalyptic number.

It is an amenable number.

10022100032 is an abundant number, since it is smaller than the sum of its proper divisors (14043591232).

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

10022100032 is a wasteful number, since it uses less digits than its factorization.

10022100032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1315963 (or 1315953 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 11.

Adding to 10022100032 its reverse (23000122001), we get a palindrome (33022222033).

The spelling of 10022100032 in words is "ten billion, twenty-two million, one hundred thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 17 28 32 34 56 64 68 112 119 136 224 238 272 448 476 544 952 1088 1904 3808 7616 1315927 2631854 5263708 9211489 10527416 18422978 21054832 22370759 36845956 42109664 44741518 73691912 84219328 89483036 147383824 156595313 178966072 294767648 313190626 357932144 589535296 626381252 715864288 1252762504 1431728576 2505525008 5011050016 10022100032