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131100232120 = 23511131710971229
BaseRepresentation
bin111101000011000101…
…1101100100110111000
3110112101121012211100121
41322012023230212320
54121443124411440
6140120540543024
712320533405114
oct1720613544670
9415347184317
10131100232120
1150665732880
12214a9251a74
13c493b07060
1464b9668744
15362474334a
hex1e862ec9b8

131100232120 has 256 divisors, whose sum is σ = 367562966400. Its totient is φ = 41345679360.

The previous prime is 131100232099. The next prime is 131100232177. The reversal of 131100232120 is 21232001131.

It is a junction number, because it is equal to n+sod(n) for n = 131100232094 and 131100232103.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 106671666 + ... + 106672894.

Almost surely, 2131100232120 is an apocalyptic number.

131100232120 is a gapful number since it is divisible by the number (10) 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 131100232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183781483200).

131100232120 is an abundant number, since it is smaller than the sum of its proper divisors (236462734280).

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

131100232120 is a wasteful number, since it uses less digits than its factorization.

131100232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2374 counting only the distinct ones).

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

Adding to 131100232120 its reverse (21232001131), we get a palindrome (152332233251).

The spelling of 131100232120 in words is "one hundred thirty-one billion, one hundred million, two hundred thirty-two thousand, one hundred twenty".