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313131114 = 23217396173
BaseRepresentation
bin10010101010100…
…000000001101010
3210211012201010200
4102222200001222
51120130143424
651023253030
710521366462
oct2252400152
9724181120
10313131114
1115083304a
1288a4a176
134cb478aa
142d830ba2
151c7548c9
hex12aa006a

313131114 has 12 divisors (see below), whose sum is σ = 678450786. Its totient is φ = 104377032.

The previous prime is 313131107. The next prime is 313131127. The reversal of 313131114 is 411131313.

It can be written as a sum of positive squares in only one way, i.e., 304328025 + 8803089 = 17445^2 + 2967^2 .

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 17396173 = 313131114 / (3 + 1 + 3 + 1 + 3 + 1 + 1 + 1 + 4).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 8698069 + ... + 8698104.

Almost surely, 2313131114 is an apocalyptic number.

313131114 is an abundant number, since it is smaller than the sum of its proper divisors (365319672).

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

313131114 is a wasteful number, since it uses less digits than its factorization.

313131114 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17396181 (or 17396178 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 313131114 is about 17695.5111257064. The cubic root of 313131114 is about 679.0609254843.

Adding to 313131114 its reverse (411131313), we get a palindrome (724262427).

The spelling of 313131114 in words is "three hundred thirteen million, one hundred thirty-one thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 18 17396173 34792346 52188519 104377038 156565557 313131114