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10133123292 = 22321716557391
BaseRepresentation
bin10010110111111101…
…10011000011011100
3222011012020222221200
421123332303003130
5131223034421132
64353255555500
7506052061335
oct113376630334
928135228850
1010133123292
11432a97a566
121b6968bb90
13c5645a756
146c1ad728c
153e4906d7c
hex25bfb30dc

10133123292 has 36 divisors (see below), whose sum is σ = 27121008096. Its totient is φ = 3179018880.

The previous prime is 10133123269. The next prime is 10133123323. The reversal of 10133123292 is 29232133101.

10133123292 is a `hidden beast` number, since 1 + 0 + 1 + 331 + 2 + 329 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×101331232923 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 8278084 + ... + 8279307.

It is an arithmetic number, because the mean of its divisors is an integer number (753361336).

Almost surely, 210133123292 is an apocalyptic number.

10133123292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10133123292 is an abundant number, since it is smaller than the sum of its proper divisors (16987884804).

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

10133123292 is a wasteful number, since it uses less digits than its factorization.

10133123292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16557418 (or 16557413 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

Adding to 10133123292 its reverse (29232133101), we get a palindrome (39365256393).

The spelling of 10133123292 in words is "ten billion, one hundred thirty-three million, one hundred twenty-three thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 306 612 16557391 33114782 49672173 66229564 99344346 149016519 198688692 281475647 298033038 562951294 596066076 844426941 1125902588 1688853882 2533280823 3377707764 5066561646 10133123292