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313317507 = 31072833449
BaseRepresentation
bin10010101011001…
…101100010000011
3210211120011211010
4102223031202003
51120202130012
651031252003
710523104056
oct2253154203
9724504733
10313317507
11150950098
1288b1a003
134cbb1699
142d87ca9d
151c78ec3c
hex12acd883

313317507 has 16 divisors (see below), whose sum is σ = 423273600. Its totient is φ = 206135232.

The previous prime is 313317491. The next prime is 313317541. The reversal of 313317507 is 705713313.

It is not a de Polignac number, because 313317507 - 24 = 313317491 is a prime.

It is not an unprimeable number, because it can be changed into a prime (313317577) 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 15 ways as a sum of consecutive naturals, for example, 89119 + ... + 92567.

It is an arithmetic number, because the mean of its divisors is an integer number (26454600).

Almost surely, 2313317507 is an apocalyptic number.

313317507 is a deficient number, since it is larger than the sum of its proper divisors (109956093).

313317507 is a wasteful number, since it uses less digits than its factorization.

313317507 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842.

The product of its (nonzero) digits is 6615, while the sum is 30.

The square root of 313317507 is about 17700.7770168431. Note that the first 3 decimals coincide. The cubic root of 313317507 is about 679.1956369959.

The spelling of 313317507 in words is "three hundred thirteen million, three hundred seventeen thousand, five hundred seven".

Divisors: 1 3 107 283 321 849 3449 10347 30281 90843 369043 976067 1107129 2928201 104439169 313317507