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313135731 = 3223289739
BaseRepresentation
bin10010101010100…
…001001001110011
3210211012221110200
4102222201021303
51120130320411
651023330243
710521416106
oct2252411163
9724187420
10313135731
11150836567
1288a50983
134cb49a1c
142d83273d
151c755e56
hex12aa1273

313135731 has 36 divisors (see below), whose sum is σ = 478787400. Its totient is φ = 197169984.

The previous prime is 313135729. The next prime is 313135747. The reversal of 313135731 is 137531313.

It is not a de Polignac number, because 313135731 - 21 = 313135729 is a prime.

It is a super-2 number, since 2×3131357312 = 196107972057808722, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313135695 and 313135704.

It is not an unprimeable number, because it can be changed into a prime (313135231) 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 35 ways as a sum of consecutive naturals, for example, 423360 + ... + 424098.

It is an arithmetic number, because the mean of its divisors is an integer number (13299650).

Almost surely, 2313135731 is an apocalyptic number.

313135731 is a deficient number, since it is larger than the sum of its proper divisors (165651669).

313135731 is a wasteful number, since it uses less digits than its factorization.

313135731 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 880 (or 854 counting only the distinct ones).

The product of its digits is 2835, while the sum is 27.

The square root of 313135731 is about 17695.6415820393. The cubic root of 313135731 is about 679.0642629668.

The spelling of 313135731 in words is "three hundred thirteen million, one hundred thirty-five thousand, seven hundred thirty-one".

Divisors: 1 3 9 23 69 89 207 267 529 739 801 1587 2047 2217 4761 6141 6651 16997 18423 47081 50991 65771 141243 152973 197313 390931 423729 591939 1172793 1512733 3518379 4538199 13614597 34792859 104378577 313135731