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131123104 = 2571930809
BaseRepresentation
bin1111101000011…
…00011110100000
3100010201202002021
413310030132200
5232031414404
621002231224
73151346050
oct764143640
9303652067
10131123104
1168019802
1237ab5514
132121ca48
14135b3560
15b7a1454
hex7d0c7a0

131123104 has 48 divisors (see below), whose sum is σ = 310564800. Its totient is φ = 53236224.

The previous prime is 131123093. The next prime is 131123107. The reversal of 131123104 is 401321131.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (131123107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11149 + ... + 19660.

It is an arithmetic number, because the mean of its divisors is an integer number (6470100).

Almost surely, 2131123104 is an apocalyptic number.

131123104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131123104 is an abundant number, since it is smaller than the sum of its proper divisors (179441696).

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

131123104 is a wasteful number, since it uses less digits than its factorization.

131123104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30845 (or 30837 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 131123104 is about 11450.8997026435. The cubic root of 131123104 is about 508.0343457465.

Adding to 131123104 its reverse (401321131), we get a palindrome (532444235).

The spelling of 131123104 in words is "one hundred thirty-one million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 76 112 133 152 224 266 304 532 608 1064 2128 4256 30809 61618 123236 215663 246472 431326 492944 585371 862652 985888 1170742 1725304 2341484 3450608 4097597 4682968 6901216 8195194 9365936 16390388 18731872 32780776 65561552 131123104