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101572132116 = 22371341255333
BaseRepresentation
bin101111010011000101…
…0111011110100010100
3100201011201212221002010
41132212022323310110
53131004431211431
6114354523144220
710224023610030
oct1364612736424
9321151787063
10101572132116
113a092903244
1217828375070
139769438b30
144cb7b7d1c0
152997281846
hex17a62bbd14

101572132116 has 144 divisors (see below), whose sum is σ = 298987751552. Its totient is φ = 26134410240.

The previous prime is 101572132043. The next prime is 101572132127. The reversal of 101572132116 is 611231275101.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1807986 + ... + 1863318.

Almost surely, 2101572132116 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101572132116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149493875776).

101572132116 is an abundant number, since it is smaller than the sum of its proper divisors (197415619436).

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

101572132116 is a wasteful number, since it uses less digits than its factorization.

101572132116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55442 (or 55399 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 30.

The spelling of 101572132116 in words is "one hundred one billion, five hundred seventy-two million, one hundred thirty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 41 42 52 78 82 84 91 123 156 164 182 246 273 287 364 492 533 546 574 861 1066 1092 1148 1599 1681 1722 2132 3198 3362 3444 3731 5043 6396 6724 7462 10086 11193 11767 14924 20172 21853 22386 23534 35301 43706 44772 47068 55333 65559 70602 87412 110666 131118 141204 152971 165999 221332 262236 305942 331998 387331 458913 611884 663996 719329 774662 917826 1161993 1438658 1549324 1835652 2157987 2268653 2323986 2877316 4315974 4537306 4647972 5035303 6805959 8631948 9074612 10070606 13611918 15105909 15880571 20141212 27223836 29492489 30211818 31761142 47641713 58984978 60423636 63522284 88477467 93014773 95283426 117969956 176954934 186029546 190566852 206447423 279044319 353909868 372059092 412894846 558088638 619342269 651103411 825789692 1116177276 1209192049 1238684538 1302206822 1953310233 2418384098 2477369076 2604413644 3627576147 3906620466 4836768196 7255152294 7813240932 8464344343 14510304588 16928688686 25393033029 33857377372 50786066058 101572132116