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101989545912 = 233231131348811
BaseRepresentation
bin101111011111100001…
…1001111011110111000
3100202020211022202011100
41132333003033132320
53132333310432122
6114504153531400
710240252556622
oct1367703173670
9322224282140
10101989545912
113a287492421
1217924113b60
139804a66647
144d17397c12
1529bdc34aac
hex17bf0cf7b8

101989545912 has 96 divisors (see below), whose sum is σ = 287309468160. Its totient is φ = 32648616000.

The previous prime is 101989545883. The next prime is 101989545971. The reversal of 101989545912 is 219545989101.

101989545912 is a `hidden beast` number, since 1 + 0 + 1 + 9 + 8 + 9 + 545 + 91 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 117987 + ... + 466797.

It is an arithmetic number, because the mean of its divisors is an integer number (2992806960).

Almost surely, 2101989545912 is an apocalyptic number.

101989545912 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101989545912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143654734080).

101989545912 is an abundant number, since it is smaller than the sum of its proper divisors (185319922248).

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

101989545912 is a wasteful number, since it uses less digits than its factorization.

101989545912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348985 (or 348978 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 54.

The spelling of 101989545912 in words is "one hundred one billion, nine hundred eighty-nine million, five hundred forty-five thousand, nine hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 31 36 62 72 93 124 131 186 248 262 279 372 393 524 558 744 786 1048 1116 1179 1572 2232 2358 3144 4061 4716 8122 9432 12183 16244 24366 32488 36549 48732 73098 97464 146196 292392 348811 697622 1046433 1395244 2092866 2790488 3139299 4185732 6278598 8371464 10813141 12557196 21626282 25114392 32439423 43252564 45694241 64878846 86505128 91388482 97318269 129757692 137082723 182776964 194636538 259515384 274165446 365553928 389273076 411248169 548330892 778546152 822496338 1096661784 1416521471 1644992676 2833042942 3289985352 4249564413 5666085884 8499128826 11332171768 12748693239 16998257652 25497386478 33996515304 50994772956 101989545912