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10314365013 = 332334433701
BaseRepresentation
bin10011001101100100…
…01011100001010101
3222121211022000212000
421212302023201111
5132110434140023
64423252345513
7513412441011
oct114662134125
928554260760
1010314365013
114413210107
121bba315299
13c84b77884
146dbbd5541
154057a8243
hex266c8b855

10314365013 has 32 divisors (see below), whose sum is σ = 15384919680. Its totient is φ = 6829430400.

The previous prime is 10314364997. The next prime is 10314365081. The reversal of 10314365013 is 31056341301.

10314365013 is a `hidden beast` number, since 1 + 0 + 3 + 1 + 4 + 3 + 650 + 1 + 3 = 666.

It is not a de Polignac number, because 10314365013 - 24 = 10314364997 is a prime.

It is a super-2 number, since 2×103143650132 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314365093) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785063 + ... + 2788763.

It is an arithmetic number, because the mean of its divisors is an integer number (480778740).

Almost surely, 210314365013 is an apocalyptic number.

It is an amenable number.

10314365013 is a deficient number, since it is larger than the sum of its proper divisors (5070554667).

10314365013 is a wasteful number, since it uses less digits than its factorization.

10314365013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4386 (or 4380 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The spelling of 10314365013 in words is "ten billion, three hundred fourteen million, three hundred sixty-five thousand, thirteen".

Divisors: 1 3 9 27 233 443 699 1329 2097 3701 3987 6291 11103 11961 33309 99927 103219 309657 862333 928971 1639543 2586999 2786913 4918629 7760997 14755887 23282991 44267661 382013519 1146040557 3438121671 10314365013