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314515113 = 311171921553
BaseRepresentation
bin10010101111110…
…001111010101001
3210220211000121220
4102233301322221
51121003440423
651113052253
710536222453
oct2257617251
9726730556
10314515113
11151598950
12893b7089
1350210823
142dab12d3
151c9299e3
hex12bf1ea9

314515113 has 48 divisors (see below), whose sum is σ = 511551936. Its totient is φ = 169850880.

The previous prime is 314515099. The next prime is 314515177. The reversal of 314515113 is 311515413.

It is not a de Polignac number, because 314515113 - 26 = 314515049 is a prime.

It is a super-3 number, since 3×3145151133 (a number of 26 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (314515213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 201745 + ... + 203297.

It is an arithmetic number, because the mean of its divisors is an integer number (10657332).

Almost surely, 2314515113 is an apocalyptic number.

314515113 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

314515113 is a deficient number, since it is larger than the sum of its proper divisors (197036823).

314515113 is a wasteful number, since it uses less digits than its factorization.

314515113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1603 counting only the distinct ones).

The product of its digits is 900, while the sum is 24.

The square root of 314515113 is about 17734.5739446991. The cubic root of 314515113 is about 680.0599089375.

The spelling of 314515113 in words is "three hundred fourteen million, five hundred fifteen thousand, one hundred thirteen".

Divisors: 1 3 11 17 19 33 51 57 187 209 323 361 561 627 969 1083 1553 3553 3971 4659 6137 10659 11913 17083 18411 26401 29507 51249 67507 79203 88521 202521 290411 324577 501619 560633 871233 973731 1504857 1681899 5517809 6166963 9530761 16553427 18500889 28592283 104838371 314515113