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313131132 = 22329789671
BaseRepresentation
bin10010101010100…
…000000001111100
3210211012201011100
4102222200001330
51120130144012
651023253100
710521366516
oct2252400174
9724181140
10313131132
11150833066
1288a4a190
134cb478c2
142d830bb6
151c7548dc
hex12aa007c

313131132 has 36 divisors (see below), whose sum is σ = 799694896. Its totient is φ = 103299840.

The previous prime is 313131127. The next prime is 313131139. The reversal of 313131132 is 231131313.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×3131311322 = 196102211655202848, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313131139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 41344 + ... + 48327.

Almost surely, 2313131132 is an apocalyptic number.

It is an amenable number.

313131132 is an abundant number, since it is smaller than the sum of its proper divisors (486563764).

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

313131132 is a wasteful number, since it uses less digits than its factorization.

313131132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89778 (or 89773 counting only the distinct ones).

The product of its digits is 162, while the sum is 18.

The square root of 313131132 is about 17695.5116343100. The cubic root of 313131132 is about 679.0609384960.

Adding to 313131132 its reverse (231131313), we get a palindrome (544262445).

The spelling of 313131132 in words is "three hundred thirteen million, one hundred thirty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 97 194 291 388 582 873 1164 1746 3492 89671 179342 269013 358684 538026 807039 1076052 1614078 3228156 8698087 17396174 26094261 34792348 52188522 78282783 104377044 156565566 313131132