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10111009972 = 2273179147451
BaseRepresentation
bin10010110101010100…
…11100010010110100
3222002122122112011211
421122222130102310
5131201404304342
64351150011204
7505363111120
oct113252342264
928078575154
1010111009972
114319446498
121b621a6b04
13c519b744b
146bcbbc580
153e29d9c17
hex25aa9c4b4

10111009972 has 48 divisors (see below), whose sum is σ = 21138718720. Its totient is φ = 4140396000.

The previous prime is 10111009939. The next prime is 10111009973. The reversal of 10111009972 is 27990011101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10111009973) 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, 5154 + ... + 142297.

Almost surely, 210111009972 is an apocalyptic number.

It is an amenable number.

10111009972 is an abundant number, since it is smaller than the sum of its proper divisors (11027708748).

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

10111009972 is a wasteful number, since it uses less digits than its factorization.

10111009972 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147572 (or 147570 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 31.

The spelling of 10111009972 in words is "ten billion, one hundred eleven million, nine thousand, nine hundred seventy-two".

Divisors: 1 2 4 7 14 28 31 62 79 124 158 217 316 434 553 868 1106 2212 2449 4898 9796 17143 34286 68572 147451 294902 589804 1032157 2064314 4128628 4570981 9141962 11648629 18283924 23297258 31996867 46594516 63993734 81540403 127987468 163080806 326161612 361107499 722214998 1444429996 2527752493 5055504986 10111009972