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312118317 = 327171132579
BaseRepresentation
bin10010100110101…
…000110000101101
3210202022020211200
4102212220300231
51114400241232
650545440113
710506650640
oct2246506055
9722266750
10312118317
11150201125
1288640039
134c8818c4
142d649a57
151c60477c
hex129a8c2d

312118317 has 48 divisors (see below), whose sum is σ = 550592640. Its totient is φ = 166311936.

The previous prime is 312118297. The next prime is 312118327. The reversal of 312118317 is 713811213.

It is a happy number.

It is not a de Polignac number, because 312118317 - 27 = 312118189 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (312118327) 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 47 ways as a sum of consecutive naturals, for example, 119734 + ... + 122312.

It is an arithmetic number, because the mean of its divisors is an integer number (11470680).

Almost surely, 2312118317 is an apocalyptic number.

It is an amenable number.

312118317 is a deficient number, since it is larger than the sum of its proper divisors (238474323).

312118317 is a wasteful number, since it uses less digits than its factorization.

312118317 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2722 (or 2719 counting only the distinct ones).

The product of its digits is 1008, while the sum is 27.

The square root of 312118317 is about 17666.8706057411. The cubic root of 312118317 is about 678.3280123754.

The spelling of 312118317 in words is "three hundred twelve million, one hundred eighteen thousand, three hundred seventeen".

Divisors: 1 3 7 9 17 21 51 63 113 119 153 339 357 791 1017 1071 1921 2373 2579 5763 7119 7737 13447 17289 18053 23211 40341 43843 54159 121023 131529 162477 291427 306901 394587 874281 920703 2039989 2622843 2762109 4954259 6119967 14862777 18359901 34679813 44588331 104039439 312118317