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313106949 = 32275312637
BaseRepresentation
bin10010101010011…
…010001000000101
3210211011110222200
4102222122020011
51120123410244
651022545113
710521236151
oct2252321005
9724143880
10313106949
11150816981
1288a38199
134cb398ac
142d826061
151c74c669
hex12a9a205

313106949 has 12 divisors (see below), whose sum is σ = 452465676. Its totient is φ = 208645632.

The previous prime is 313106917. The next prime is 313106953. The reversal of 313106949 is 949601313.

It can be written as a sum of positive squares in 2 ways, for example, as 164096100 + 149010849 = 12810^2 + 12207^2 .

It is not a de Polignac number, because 313106949 - 25 = 313106917 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313106249) 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, 18459 + ... + 31095.

It is an arithmetic number, because the mean of its divisors is an integer number (37705473).

Almost surely, 2313106949 is an apocalyptic number.

It is an amenable number.

313106949 is a deficient number, since it is larger than the sum of its proper divisors (139358727).

313106949 is a wasteful number, since it uses less digits than its factorization.

313106949 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15396 (or 15393 counting only the distinct ones).

The product of its (nonzero) digits is 17496, while the sum is 36.

The square root of 313106949 is about 17694.8283122499. The cubic root of 313106949 is about 679.0434568387.

The spelling of 313106949 in words is "three hundred thirteen million, one hundred six thousand, nine hundred forty-nine".

Divisors: 1 3 9 2753 8259 12637 24777 37911 113733 34789661 104368983 313106949