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10112311313 = 135928146919
BaseRepresentation
bin10010110101011110…
…11010000000010001
3222002202002122021122
421122233122000101
5131202222430223
64351233532025
7505410141116
oct113257320021
928082078248
1010112311313
11431a155185
121b62714015
13c52051880
146bd03a90d
153e2b955c8
hex25abda011

10112311313 has 16 divisors (see below), whose sum is σ = 11114409600. Its totient is φ = 9143379840.

The previous prime is 10112311301. The next prime is 10112311327. The reversal of 10112311313 is 31311321101.

It is a cyclic number.

It is not a de Polignac number, because 10112311313 - 210 = 10112310289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10112311291 and 10112311300.

It is not an unprimeable number, because it can be changed into a prime (10112311393) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 192068 + ... + 238986.

It is an arithmetic number, because the mean of its divisors is an integer number (694650600).

Almost surely, 210112311313 is an apocalyptic number.

10112311313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10112311313 is a deficient number, since it is larger than the sum of its proper divisors (1002098287).

10112311313 is a wasteful number, since it uses less digits than its factorization.

10112311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47272.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 10112311313 its reverse (31311321101), we get a palindrome (41423632414).

The spelling of 10112311313 in words is "ten billion, one hundred twelve million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 13 59 281 767 3653 16579 46919 215527 609947 2768221 13184239 35986873 171395107 777870101 10112311313