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131100132132 = 223229312428909
BaseRepresentation
bin111101000011000101…
…1010100001100100100
3110112101121000202012100
41322012023110030210
54121443113212012
6140120534452100
712320532510444
oct1720613241444
9415347022170
10131100132132
1150665674742
12214a9204030
13c493aa06a8
1464b9640124
1536247238dc
hex1e862d4324

131100132132 has 36 divisors (see below), whose sum is σ = 332523058140. Its totient is φ = 43550893632.

The previous prime is 131100132103. The next prime is 131100132139. The reversal of 131100132132 is 231231001131.

131100132132 is a `hidden beast` number, since 1 + 311 + 0 + 0 + 1 + 321 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 98881318116 + 32218814016 = 314454^2 + 179496^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (131100132139) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6203907 + ... + 6225002.

It is an arithmetic number, because the mean of its divisors is an integer number (9236751615).

Almost surely, 2131100132132 is an apocalyptic number.

131100132132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131100132132 is an abundant number, since it is smaller than the sum of its proper divisors (201422926008).

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

131100132132 is a wasteful number, since it uses less digits than its factorization.

131100132132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12429212 (or 12429207 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 131100132132 its reverse (231231001131), we get a palindrome (362331133263).

The spelling of 131100132132 in words is "one hundred thirty-one billion, one hundred million, one hundred thirty-two thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 293 586 879 1172 1758 2637 3516 5274 10548 12428909 24857818 37286727 49715636 74573454 111860181 149146908 223720362 447440724 3641670337 7283340674 10925011011 14566681348 21850022022 32775033033 43700044044 65550066066 131100132132