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10313200313 = 132927355969
BaseRepresentation
bin10011001101011011…
…01111001010111001
3222121202002212011222
421212231233022321
5132110134402223
64423211401425
7513366520253
oct114655571271
928552085158
1010313200313
114412595049
121bb9a53275
13c8485a6c0
146db9b0cd3
154056280c8
hex266b6f2b9

10313200313 has 8 divisors (see below), whose sum is σ = 11489507400. Its totient is φ = 9191605248.

The previous prime is 10313200307. The next prime is 10313200343. The reversal of 10313200313 is 31300231301.

It can be written as a sum of positive squares in 4 ways, for example, as 360544144 + 9952656169 = 18988^2 + 99763^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 10313200313 - 230 = 9239458489 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10313200291 and 10313200300.

It is not an unprimeable number, because it can be changed into a prime (10313200343) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 13677608 + ... + 13678361.

It is an arithmetic number, because the mean of its divisors is an integer number (1436188425).

Almost surely, 210313200313 is an apocalyptic number.

10313200313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10313200313 is a deficient number, since it is larger than the sum of its proper divisors (1176307087).

10313200313 is a wasteful number, since it uses less digits than its factorization.

10313200313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27356011.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 10313200313 its reverse (31300231301), we get a palindrome (41613431614).

The spelling of 10313200313 in words is "ten billion, three hundred thirteen million, two hundred thousand, three hundred thirteen".

Divisors: 1 13 29 377 27355969 355627597 793323101 10313200313