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107138432280 = 23351181165479
BaseRepresentation
bin110001111000111110…
…0101011110100011000
3101020112122212021102110
41203301330223310120
53223404414313110
6121115124232320
710511663435265
oct1436174536430
9336478767373
10107138432280
1141489940a10
121892053b6a0
13a1456c4279
14528513426c
152bc0c9aa20
hex18f1f2bd18

107138432280 has 64 divisors (see below), whose sum is σ = 350634873600. Its totient is φ = 25972952960.

The previous prime is 107138432267. The next prime is 107138432309. The reversal of 107138432280 is 82234831701.

It is a super-2 number, since 2×1071384322802 (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 15 ways as a sum of consecutive naturals, for example, 40581420 + ... + 40584059.

It is an arithmetic number, because the mean of its divisors is an integer number (5478669900).

Almost surely, 2107138432280 is an apocalyptic number.

107138432280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

107138432280 is an abundant number, since it is smaller than the sum of its proper divisors (243496441320).

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

107138432280 is a wasteful number, since it uses less digits than its factorization.

107138432280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81165504 (or 81165500 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 39.

The spelling of 107138432280 in words is "one hundred seven billion, one hundred thirty-eight million, four hundred thirty-two thousand, two hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 81165479 162330958 243496437 324661916 405827395 486992874 649323832 811654790 892820269 973985748 1217482185 1623309580 1785640538 1947971496 2434964370 2678460807 3246619160 3571281076 4464101345 4869928740 5356921614 7142562152 8928202690 9739857480 10713843228 13392304035 17856405380 21427686456 26784608070 35712810760 53569216140 107138432280