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10312301313 = 322939510733
BaseRepresentation
bin10011001101010100…
…10011101100000001
3222121200102011222200
421212222103230001
5132104422120223
64423140223413
7513356054256
oct114652235401
928550364880
1010312301313
114412030676
121bb969ab69
13c84604452
146db81942d
154054eba43
hex266a93b01

10312301313 has 12 divisors (see below), whose sum is σ = 15409186260. Its totient is φ = 6637802976.

The previous prime is 10312301299. The next prime is 10312301327. The reversal of 10312301313 is 31310321301.

It is a happy number.

10312301313 is a `hidden beast` number, since 10 + 312 + 30 + 1 + 313 = 666.

It is an interprime number because it is at equal distance from previous prime (10312301299) and next prime (10312301327).

It can be written as a sum of positive squares in 2 ways, for example, as 7739072784 + 2573228529 = 87972^2 + 50727^2 .

It is not a de Polignac number, because 10312301313 - 24 = 10312301297 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10312301353) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19755106 + ... + 19755627.

It is an arithmetic number, because the mean of its divisors is an integer number (1284098855).

Almost surely, 210312301313 is an apocalyptic number.

It is an amenable number.

10312301313 is a deficient number, since it is larger than the sum of its proper divisors (5096884947).

10312301313 is a wasteful number, since it uses less digits than its factorization.

10312301313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39510768 (or 39510765 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 10312301313 its reverse (31310321301), we get a palindrome (41622622614).

The spelling of 10312301313 in words is "ten billion, three hundred twelve million, three hundred one thousand, three hundred thirteen".

Divisors: 1 3 9 29 87 261 39510733 118532199 355596597 1145811257 3437433771 10312301313