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10133112312 = 233415637519
BaseRepresentation
bin10010110111111101…
…10000010111111000
3222011012020102220000
421123332300113320
5131223034043222
64353255433000
7506052014331
oct113376602770
928135212800
1010133112312
11432a972294
121b69685760
13c5645575b
146c1ad3288
153e49039ac
hex25bfb05f8

10133112312 has 40 divisors (see below), whose sum is σ = 28382098800. Its totient is φ = 3377703888.

The previous prime is 10133112307. The next prime is 10133112313. The reversal of 10133112312 is 21321133101.

10133112312 is a `hidden beast` number, since 10 + 1 + 331 + 12 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10133112313) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 7818112 + ... + 7819407.

It is an arithmetic number, because the mean of its divisors is an integer number (709552470).

Almost surely, 210133112312 is an apocalyptic number.

10133112312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133112312 is an abundant number, since it is smaller than the sum of its proper divisors (18248986488).

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

10133112312 is a wasteful number, since it uses less digits than its factorization.

10133112312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15637537 (or 15637524 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10133112312 its reverse (21321133101), we get a palindrome (31454245413).

The spelling of 10133112312 in words is "ten billion, one hundred thirty-three million, one hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 15637519 31275038 46912557 62550076 93825114 125100152 140737671 187650228 281475342 375300456 422213013 562950684 844426026 1125901368 1266639039 1688852052 2533278078 3377704104 5066556156 10133112312