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131013312 = 263682361
BaseRepresentation
bin1111100111100…
…01101011000000
3100010112011110220
413303301223000
5232014411222
621000023040
73150411003
oct763615300
9303464426
10131013312
1167a54271
1237a61a80
13211b1a91
141358553a
15b77db5c
hex7cf1ac0

131013312 has 28 divisors (see below), whose sum is σ = 346639896. Its totient is φ = 43671040.

The previous prime is 131013307. The next prime is 131013317. The reversal of 131013312 is 213310131.

It is an interprime number because it is at equal distance from previous prime (131013307) and next prime (131013317).

It is a junction number, because it is equal to n+sod(n) for n = 131013291 and 131013300.

It is not an unprimeable number, because it can be changed into a prime (131013317) 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, 340989 + ... + 341372.

Almost surely, 2131013312 is an apocalyptic number.

131013312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131013312 is an abundant number, since it is smaller than the sum of its proper divisors (215626584).

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

131013312 is an equidigital number, since it uses as much as digits as its factorization.

131013312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 682376 (or 682366 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 15.

The square root of 131013312 is about 11446.1046649067. The cubic root of 131013312 is about 507.8925103759.

Adding to 131013312 its reverse (213310131), we get a palindrome (344323443).

The spelling of 131013312 in words is "one hundred thirty-one million, thirteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 682361 1364722 2047083 2729444 4094166 5458888 8188332 10917776 16376664 21835552 32753328 43671104 65506656 131013312