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131131328 = 265367577
BaseRepresentation
bin1111101000011…
…10011111000000
3100010202011100212
413310032133000
5232032200303
621002333252
73151412036
oct764163700
9303664325
10131131328
11680249a9
1237aba228
1321223703
14135b6556
15b7a3ad8
hex7d0e7c0

131131328 has 56 divisors (see below), whose sum is σ = 269546832. Its totient is φ = 63258624.

The previous prime is 131131321. The next prime is 131131337. The reversal of 131131328 is 823131131.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131131321) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 226976 + ... + 227552.

Almost surely, 2131131328 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 131131328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134773416).

131131328 is an abundant number, since it is smaller than the sum of its proper divisors (138415504).

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

131131328 is an equidigital number, since it uses as much as digits as its factorization.

131131328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 699 counting only the distinct ones).

The product of its digits is 432, while the sum is 23.

The square root of 131131328 is about 11451.2587954338. The cubic root of 131131328 is about 508.0449667762.

Adding to 131131328 its reverse (823131131), we get a palindrome (954262459).

It can be divided in two parts, 13113 and 1328, that added together give a palindrome (14441).

The spelling of 131131328 in words is "one hundred thirty-one million, one hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 16 32 53 64 67 106 134 212 268 424 536 577 848 1072 1154 1696 2144 2308 3392 3551 4288 4616 7102 9232 14204 18464 28408 30581 36928 38659 56816 61162 77318 113632 122324 154636 227264 244648 309272 489296 618544 978592 1237088 1957184 2048927 2474176 4097854 8195708 16391416 32782832 65565664 131131328