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315164031 = 37213831987
BaseRepresentation
bin10010110010010…
…000010101111111
3210222000222202220
4102302100111333
51121140222111
651135020423
710544564400
oct2262202577
9728028686
10315164031
111519a1446
128966a713
13503a9cc0
142dbdd9a7
151ca06e06
hex12c9057f

315164031 has 48 divisors (see below), whose sum is σ = 533038464. Its totient is φ = 164154816.

The previous prime is 315164027. The next prime is 315164099. The reversal of 315164031 is 130461513.

It is not a de Polignac number, because 315164031 - 22 = 315164027 is a prime.

It is a super-2 number, since 2×3151640312 = 198656732872337922, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 315163992 and 315164010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (315164231) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 157620 + ... + 159606.

It is an arithmetic number, because the mean of its divisors is an integer number (11104968).

Almost surely, 2315164031 is an apocalyptic number.

315164031 is a deficient number, since it is larger than the sum of its proper divisors (217874433).

315164031 is a wasteful number, since it uses less digits than its factorization.

315164031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2100 (or 2093 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The square root of 315164031 is about 17752.8597977903. The cubic root of 315164031 is about 680.5272950200.

The spelling of 315164031 in words is "three hundred fifteen million, one hundred sixty-four thousand, thirty-one".

Divisors: 1 3 7 13 21 39 49 83 91 147 249 273 581 637 1079 1743 1911 1987 3237 4067 5961 7553 12201 13909 22659 25831 41727 52871 77493 97363 158613 164921 180817 292089 494763 542451 1154447 1265719 2143973 3463341 3797157 6431919 8081129 15007811 24243387 45023433 105054677 315164031