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131013632 = 210971319
BaseRepresentation
bin1111100111100…
…01110000000000
3100010112011220202
413303301300000
5232014414012
621000024332
73150411641
oct763616000
9303464822
10131013632
1167a54532
1237a620a8
13211b1c79
14135856c8
15b77dcc2
hex7cf1c00

131013632 has 44 divisors (see below), whose sum is σ = 264799920. Its totient is φ = 64782336.

The previous prime is 131013629. The next prime is 131013637. The reversal of 131013632 is 236310131.

It is a happy number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131013637) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 98669 + ... + 99987.

It is an arithmetic number, because the mean of its divisors is an integer number (6018180).

Almost surely, 2131013632 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131013632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132399960).

131013632 is an abundant number, since it is smaller than the sum of its proper divisors (133786288).

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

131013632 is an equidigital number, since it uses as much as digits as its factorization.

131013632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1418 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

The square root of 131013632 is about 11446.1186434529. The cubic root of 131013632 is about 507.8929238847.

Adding to 131013632 its reverse (236310131), we get a palindrome (367323763).

The spelling of 131013632 in words is "one hundred thirty-one million, thirteen thousand, six hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 97 128 194 256 388 512 776 1024 1319 1552 2638 3104 5276 6208 10552 12416 21104 24832 42208 49664 84416 99328 127943 168832 255886 337664 511772 675328 1023544 1350656 2047088 4094176 8188352 16376704 32753408 65506816 131013632