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10010011113 = 322938352533
BaseRepresentation
bin10010101001010010…
…01010010111101001
3221211121121020210100
421110221022113221
5131000030323423
64333141140013
7503025455604
oct112451122751
927747536710
1010010011113
114277432563
121b343ba609
13c36ab40cb
146ad60b33b
153d8bd9343
hex254a4a5e9

10010011113 has 12 divisors (see below), whose sum is σ = 14957488260. Its totient is φ = 6443225376.

The previous prime is 10010011061. The next prime is 10010011139. The reversal of 10010011113 is 31111001001.

It can be written as a sum of positive squares in 2 ways, for example, as 3890391129 + 6119619984 = 62373^2 + 78228^2 .

It is not a de Polignac number, because 10010011113 - 210 = 10010010089 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10010011095 and 10010011104.

It is not an unprimeable number, because it can be changed into a prime (10010011153) 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, 19176006 + ... + 19176527.

It is an arithmetic number, because the mean of its divisors is an integer number (1246457355).

Almost surely, 210010011113 is an apocalyptic number.

It is an amenable number.

10010011113 is a deficient number, since it is larger than the sum of its proper divisors (4947477147).

10010011113 is a wasteful number, since it uses less digits than its factorization.

10010011113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38352568 (or 38352565 counting only the distinct ones).

The product of its (nonzero) digits is 3, while the sum is 9.

Adding to 10010011113 its reverse (31111001001), we get a palindrome (41121012114).

The spelling of 10010011113 in words is "ten billion, ten million, eleven thousand, one hundred thirteen".

Divisors: 1 3 9 29 87 261 38352533 115057599 345172797 1112223457 3336670371 10010011113