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10021022113 = 17234674817
BaseRepresentation
bin10010101010100110…
…01010100110100001
3221212101022200001011
421111103022212201
5131010340201423
64334213140521
7503221165624
oct112523124641
927771280034
1010021022113
114282673263
121b3802a741
13c3916abab
146b0c75dbb
153d9b61b0d
hex2554ca9a1

10021022113 has 6 divisors (see below), whose sum is σ = 10645169126. Its totient is φ = 9431549952.

The previous prime is 10021022071. The next prime is 10021022129. The reversal of 10021022113 is 31122012001.

10021022113 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 7467033744 + 2553988369 = 86412^2 + 50537^2 .

It is not a de Polignac number, because 10021022113 - 225 = 9987467681 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10021022093 and 10021022102.

It is not an unprimeable number, because it can be changed into a prime (10021022173) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 17337120 + ... + 17337697.

Almost surely, 210021022113 is an apocalyptic number.

It is an amenable number.

10021022113 is a deficient number, since it is larger than the sum of its proper divisors (624147013).

10021022113 is an equidigital number, since it uses as much as digits as its factorization.

10021022113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34674851 (or 34674834 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10021022113 its reverse (31122012001), we get a palindrome (41143034114).

The spelling of 10021022113 in words is "ten billion, twenty-one million, twenty-two thousand, one hundred thirteen".

Divisors: 1 17 289 34674817 589471889 10021022113