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131100384 = 2534792851
BaseRepresentation
bin1111101000001…
…10111011100000
3100010200120220210
413310012323200
5232030203014
621001534120
73151222602
oct764067340
9303616823
10131100384
1168003728
1237aa4340
13212125bc
14135a9172
15b799859
hex7d06ee0

131100384 has 48 divisors (see below), whose sum is σ = 344977920. Its totient is φ = 43593600.

The previous prime is 131100383. The next prime is 131100401. The reversal of 131100384 is 483001131.

It is a tau number, because it is divible by the number of its divisors (48).

It is a self number, because there is not a number n which added to its sum of digits gives 131100384.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131100383) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 44559 + ... + 47409.

It is an arithmetic number, because the mean of its divisors is an integer number (7187040).

Almost surely, 2131100384 is an apocalyptic number.

It is an amenable number.

131100384 is an abundant number, since it is smaller than the sum of its proper divisors (213877536).

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

131100384 is a wasteful number, since it uses less digits than its factorization.

131100384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3343 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

The square root of 131100384 is about 11449.9075978804. The cubic root of 131100384 is about 508.0050012941.

The spelling of 131100384 in words is "one hundred thirty-one million, one hundred thousand, three hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 479 958 1437 1916 2851 2874 3832 5702 5748 7664 8553 11404 11496 15328 17106 22808 22992 34212 45616 45984 68424 91232 136848 273696 1365629 2731258 4096887 5462516 8193774 10925032 16387548 21850064 32775096 43700128 65550192 131100384