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131020233030 = 2325293110116033
BaseRepresentation
bin111101000000101101…
…0100001100101000110
3110112012000200110020100
41322001122201211012
54121312134424110
6140105002144530
712315542414451
oct1720132414506
9415160613210
10131020233030
1150624562325
12214864b2146
13c48037720b
1464acba2498
15361c6debc0
hex1e816a1946

131020233030 has 192 divisors, whose sum is σ = 367391531520. Its totient is φ = 32320512000.

The previous prime is 131020233007. The next prime is 131020233119. The reversal of 131020233030 is 30332020131.

131020233030 is a `hidden beast` number, since 1 + 310 + 20 + 2 + 330 + 3 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 131020232994 and 131020233012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8163894 + ... + 8179926.

It is an arithmetic number, because the mean of its divisors is an integer number (1913497560).

Almost surely, 2131020233030 is an apocalyptic number.

131020233030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 131020233030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183695765760).

131020233030 is an abundant number, since it is smaller than the sum of its proper divisors (236371298490).

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

131020233030 is a wasteful number, since it uses less digits than its factorization.

131020233030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16207 (or 16204 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 131020233030 its reverse (30332020131), we get a palindrome (161352253161).

The spelling of 131020233030 in words is "one hundred thirty-one billion, twenty million, two hundred thirty-three thousand, thirty".