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10112314113 = 3211235418209
BaseRepresentation
bin10010110101011110…
…11010101100000001
3222002202002210010100
421122233122230001
5131202223022423
64351233553013
7505410152226
oct113257325401
928082083110
1010112314113
11431a1572a0
121b62715769
13c52052c25
146bd03b94d
153e2b96343
hex25abdab01

10112314113 has 48 divisors (see below), whose sum is σ = 16660126080. Its totient is φ = 5850662400.

The previous prime is 10112314109. The next prime is 10112314127. The reversal of 10112314113 is 31141321101.

It is a happy number.

10112314113 is a `hidden beast` number, since 10 + 11 + 231 + 411 + 3 = 666.

10112314113 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10112314113 - 22 = 10112314109 is a prime.

It is a super-3 number, since 3×101123141133 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10112314313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1227753 + ... + 1235961.

It is an arithmetic number, because the mean of its divisors is an integer number (347085960).

Almost surely, 210112314113 is an apocalyptic number.

It is an amenable number.

10112314113 is a deficient number, since it is larger than the sum of its proper divisors (6547811967).

10112314113 is a wasteful number, since it uses less digits than its factorization.

10112314113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8790 (or 8787 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 10112314113 its reverse (31141321101), we get a palindrome (41253635214).

The spelling of 10112314113 in words is "ten billion, one hundred twelve million, three hundred fourteen thousand, one hundred thirteen".

Divisors: 1 3 9 11 23 33 69 99 207 253 541 759 1623 2277 4869 5951 8209 12443 17853 24627 37329 53559 73881 90299 111987 136873 188807 270897 410619 566421 812691 1231857 1699263 2076877 4441069 6230631 13323207 18691893 39969621 48851759 102144587 146555277 306433761 439665831 919301283 1123590457 3370771371 10112314113