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131240152032 = 25311374916841
BaseRepresentation
bin111101000111010000…
…1011100101111100000
3110112202100111111101120
41322032201130233200
54122234434331112
6140142455532240
712324152612643
oct1721641345740
9415670444346
10131240152032
115072770a770
122152808a080
13c4b6ab6ac2
1464d008ba5a
153631b80e8c
hex1e8e85cbe0

131240152032 has 192 divisors, whose sum is σ = 386824128768. Its totient is φ = 38610432000.

The previous prime is 131240152019. The next prime is 131240152049. The reversal of 131240152032 is 230251042131.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 131240151993 and 131240152011.

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 31 ways as a sum of consecutive naturals, for example, 19180932 + ... + 19187772.

It is an arithmetic number, because the mean of its divisors is an integer number (2014709004).

Almost surely, 2131240152032 is an apocalyptic number.

131240152032 is a gapful number since it is divisible by the number (12) 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 131240152032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193412064384).

131240152032 is an abundant number, since it is smaller than the sum of its proper divisors (255583976736).

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

131240152032 is a wasteful number, since it uses less digits than its factorization.

131240152032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7393 (or 7385 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 131240152032 its reverse (230251042131), we get a palindrome (361491194163).

The spelling of 131240152032 in words is "one hundred thirty-one billion, two hundred forty million, one hundred fifty-two thousand, thirty-two".