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107082231906 = 23132172365411
BaseRepresentation
bin110001110111010011…
…0010011000001100010
3101020101202010000000010
41203232212103001202
53223301022410111
6121105355505350
710510411644636
oct1435646230142
9336352100003
10107082231906
1141460145821
1218905758256
13a136b77900
14527b8a4dc6
152bbad98aa6
hex18ee993062

107082231906 has 72 divisors (see below), whose sum is σ = 246350538864. Its totient is φ = 31010154240.

The previous prime is 107082231869. The next prime is 107082231929. The reversal of 107082231906 is 609132280701.

It is a super-2 number, since 2×1070822319062 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 110341 + ... + 475751.

It is an arithmetic number, because the mean of its divisors is an integer number (3421535262).

Almost surely, 2107082231906 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 107082231906, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123175269432).

107082231906 is an abundant number, since it is smaller than the sum of its proper divisors (139268306958).

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

107082231906 is a wasteful number, since it uses less digits than its factorization.

107082231906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 365476 (or 365446 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 39.

The spelling of 107082231906 in words is "one hundred seven billion, eighty-two million, two hundred thirty-one thousand, nine hundred six".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 169 221 289 338 442 507 578 663 867 1014 1326 1734 2873 3757 5746 7514 8619 11271 17238 22542 48841 97682 146523 293046 365411 730822 1096233 2192466 4750343 6211987 9500686 12423974 14251029 18635961 28502058 37271922 61754459 80755831 105603779 123508918 161511662 185263377 211207558 242267493 316811337 370526754 484534986 633622674 1049825803 1372849127 2099651606 2745698254 3149477409 4118547381 6298954818 8237094762 17847038651 35694077302 53541115953 107082231906