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10134001313 = 31332377001
BaseRepresentation
bin10010111000000100…
…01001011010100001
3222011020220121100222
421130002021122201
5131223301020223
64353330452425
7506062406222
oct113402113241
928136817328
1010134001313
11433041a1a7
121b69a34115
13c566a72a7
146c1c85249
153e4a2c0c8
hex25c0896a1

10134001313 has 4 divisors (see below), whose sum is σ = 10166378628. Its totient is φ = 10101624000.

The previous prime is 10134001289. The next prime is 10134001321. The reversal of 10134001313 is 31310043101.

It is a semiprime because it is the product of two primes, and also an emirpimes, since its reverse is a distinct semiprime: 31310043101 = 72251433351.

It can be written as a sum of positive squares in 2 ways, for example, as 1171213729 + 8962787584 = 34223^2 + 94672^2 .

It is a cyclic number.

It is not a de Polignac number, because 10134001313 - 28 = 10134001057 is a prime.

It is a super-2 number, since 2×101340013132 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10134001291 and 10134001300.

It is not an unprimeable number, because it can be changed into a prime (10134001343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 16188188 + ... + 16188813.

It is an arithmetic number, because the mean of its divisors is an integer number (2541594657).

Almost surely, 210134001313 is an apocalyptic number.

It is an amenable number.

10134001313 is a deficient number, since it is larger than the sum of its proper divisors (32377315).

10134001313 is an equidigital number, since it uses as much as digits as its factorization.

10134001313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32377314.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 10134001313 its reverse (31310043101), we get a palindrome (41444044414).

The spelling of 10134001313 in words is "ten billion, one hundred thirty-four million, one thousand, three hundred thirteen".

Divisors: 1 313 32377001 10134001313