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131020233012 = 223240913736481
BaseRepresentation
bin111101000000101101…
…0100001100100110100
3110112012000200110012200
41322001122201210310
54121312134424022
6140105002144500
712315542414424
oct1720132414464
9415160613180
10131020233012
1150624562309
12214864b2130
13c4803771c6
1464acba2484
15361c6debac
hex1e816a1934

131020233012 has 72 divisors (see below), whose sum is σ = 332292859080. Its totient is φ = 43528181760.

The previous prime is 131020233007. The next prime is 131020233119. The reversal of 131020233012 is 210332020131.

131020233012 is a `hidden beast` number, since 1 + 310 + 20 + 2 + 330 + 1 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 118450235556 + 12569997456 = 344166^2 + 112116^2 .

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

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, 20212812 + ... + 20219292.

Almost surely, 2131020233012 is an apocalyptic number.

131020233012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131020233012 is an abundant number, since it is smaller than the sum of its proper divisors (201272626068).

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

131020233012 is a wasteful number, since it uses less digits than its factorization.

131020233012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8273 (or 8268 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 131020233012 its reverse (210332020131), we get a palindrome (341352253143).

The spelling of 131020233012 in words is "one hundred thirty-one billion, twenty million, two hundred thirty-three thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 409 818 1227 1373 1636 2454 2746 3681 4119 4908 5492 6481 7362 8238 12357 12962 14724 16476 19443 24714 25924 38886 49428 58329 77772 116658 233316 561557 1123114 1684671 2246228 2650729 3369342 5054013 5301458 6738684 7952187 8898413 10108026 10602916 15904374 17796826 20216052 23856561 26695239 31808748 35593652 47713122 53390478 80085717 95426244 106780956 160171434 320342868 3639450917 7278901834 10918352751 14557803668 21836705502 32755058253 43673411004 65510116506 131020233012