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313003431 = 32136739929
BaseRepresentation
bin10010101010000…
…000110110100111
3210210222012222200
4102222000312213
51120112102211
651020425543
710520325306
oct2252006647
9723865880
10313003431
11150756124
12889a82b3
134cb01740
142d7da43d
151c72bb56
hex12a80da7

313003431 has 24 divisors (see below), whose sum is σ = 494173680. Its totient is φ = 189737856.

The previous prime is 313003423. The next prime is 313003447. The reversal of 313003431 is 134300313.

It is not a de Polignac number, because 313003431 - 23 = 313003423 is a prime.

It is a super-2 number, since 2×3130034312 = 195942295635543522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313003421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12126 + ... + 27803.

It is an arithmetic number, because the mean of its divisors is an integer number (20590570).

Almost surely, 2313003431 is an apocalyptic number.

313003431 is a deficient number, since it is larger than the sum of its proper divisors (181170249).

313003431 is a wasteful number, since it uses less digits than its factorization.

313003431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40015 (or 40012 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 313003431 is about 17691.9029784814. The cubic root of 313003431 is about 678.9686145003.

Adding to 313003431 its reverse (134300313), we get a palindrome (447303744).

The spelling of 313003431 in words is "three hundred thirteen million, three thousand, four hundred thirty-one".

Divisors: 1 3 9 13 39 67 117 201 603 871 2613 7839 39929 119787 359361 519077 1557231 2675243 4671693 8025729 24077187 34778159 104334477 313003431