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106137913272 = 23341107863733
BaseRepresentation
bin110001011011001010…
…0000000011110111000
3101010221221012122100220
41202312110000132320
53214332301211042
6120431543500040
710445124243246
oct1426624003670
9333857178326
10106137913272
11410160a31a6
12186a1457620
13a016334aa1
1451cc2cd796
152b630158ec
hex18b65007b8

106137913272 has 32 divisors (see below), whose sum is σ = 271816609680. Its totient is φ = 34516394240.

The previous prime is 106137913229. The next prime is 106137913283. The reversal of 106137913272 is 272319731601.

It is a super-2 number, since 2×1061379132722 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

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, 53930883 + ... + 53932850.

Almost surely, 2106137913272 is an apocalyptic number.

106137913272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106137913272 is an abundant number, since it is smaller than the sum of its proper divisors (165678696408).

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

106137913272 is a wasteful number, since it uses less digits than its factorization.

106137913272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107863783 (or 107863779 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 42.

The spelling of 106137913272 in words is "one hundred six billion, one hundred thirty-seven million, nine hundred thirteen thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 24 41 82 123 164 246 328 492 984 107863733 215727466 323591199 431454932 647182398 862909864 1294364796 2588729592 4422413053 8844826106 13267239159 17689652212 26534478318 35379304424 53068956636 106137913272