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10112303313 = 327222930393
BaseRepresentation
bin10010110101011110…
…11000000011010001
3222002202002020022100
421122233120003101
5131202222201223
64351233431013
7505410105600
oct113257300321
928082066270
1010112303313
11431a14a172
121b6270b469
13c5204b038
146bd037a37
153e2b93043
hex25abd80d1

10112303313 has 18 divisors (see below), whose sum is σ = 16991421954. Its totient is φ = 5778458784.

The previous prime is 10112303309. The next prime is 10112303339. The reversal of 10112303313 is 31330321101.

It is a happy number.

10112303313 is a `hidden beast` number, since 101 + 1 + 230 + 331 + 3 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7066587969 + 3045715344 = 84063^2 + 55188^2 .

It is not a de Polignac number, because 10112303313 - 22 = 10112303309 is a prime.

It is a super-2 number, since 2×101123033132 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10112307313) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 11464756 + ... + 11465637.

Almost surely, 210112303313 is an apocalyptic number.

It is an amenable number.

10112303313 is a deficient number, since it is larger than the sum of its proper divisors (6879118641).

10112303313 is a wasteful number, since it uses less digits than its factorization.

10112303313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22930413 (or 22930403 counting only the distinct ones).

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

Adding to 10112303313 its reverse (31330321101), we get a palindrome (41442624414).

It can be divided in two parts, 1011 and 2303313, that added together give a square (2304324 = 15182).

The spelling of 10112303313 in words is "ten billion, one hundred twelve million, three hundred three thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 49 63 147 441 22930393 68791179 160512751 206373537 481538253 1123589257 1444614759 3370767771 10112303313