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131034432012 = 223111901522191
BaseRepresentation
bin111101000001001000…
…0101100001000001100
3110112020000101211120120
41322002100230020030
54121324303311022
6140110230344540
712316104203061
oct1720220541014
9415200354516
10131034432012
1150631580220
122148b1bb150
13c4832a9093
1464b0a1ac68
15361da96d5c
hex1e8242c20c

131034432012 has 48 divisors (see below), whose sum is σ = 333718285824. Its totient is φ = 39686440000.

The previous prime is 131034431999. The next prime is 131034432013. The reversal of 131034432012 is 210234430131.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (131034432013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10164 + ... + 512027.

It is an arithmetic number, because the mean of its divisors is an integer number (6952464288).

Almost surely, 2131034432012 is an apocalyptic number.

131034432012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131034432012 is an abundant number, since it is smaller than the sum of its proper divisors (202683853812).

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

131034432012 is a wasteful number, since it uses less digits than its factorization.

131034432012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524110 (or 524108 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 131034432012 its reverse (210234430131), we get a palindrome (341268862143).

The spelling of 131034432012 in words is "one hundred thirty-one billion, thirty-four million, four hundred thirty-two thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 1901 3802 5703 7604 11406 20911 22812 41822 62733 83644 125466 250932 522191 1044382 1566573 2088764 3133146 5744101 6266292 11488202 17232303 22976404 34464606 68929212 992685091 1985370182 2978055273 3970740364 5956110546 10919536001 11912221092 21839072002 32758608003 43678144004 65517216006 131034432012