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10120032312 = 233133191929
BaseRepresentation
bin10010110110011001…
…10111000000111000
3222010021121220111120
421123030313000320
5131211212013222
64352111225240
7505532566245
oct113314670070
928107556446
1010120032312
114323549075
121b65218220
13c53826000
146c008a5cc
153e36bd15c
hex25b337038

10120032312 has 64 divisors (see below), whose sum is σ = 27407604000. Its totient is φ = 3113839872.

The previous prime is 10120032281. The next prime is 10120032317. The reversal of 10120032312 is 21323002101.

It is a junction number, because it is equal to n+sod(n) for n = 10120032291 and 10120032300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120032317) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 43237 + ... + 148692.

Almost surely, 210120032312 is an apocalyptic number.

10120032312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10120032312 is an abundant number, since it is smaller than the sum of its proper divisors (17287571688).

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

10120032312 is a wasteful number, since it uses less digits than its factorization.

10120032312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191977 (or 191947 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10120032312 its reverse (21323002101), we get a palindrome (31443034413).

The spelling of 10120032312 in words is "ten billion, one hundred twenty million, thirty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 169 312 338 507 676 1014 1352 2028 2197 4056 4394 6591 8788 13182 17576 26364 52728 191929 383858 575787 767716 1151574 1535432 2303148 2495077 4606296 4990154 7485231 9980308 14970462 19960616 29940924 32436001 59881848 64872002 97308003 129744004 194616006 259488008 389232012 421668013 778464024 843336026 1265004039 1686672052 2530008078 3373344104 5060016156 10120032312