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10013112020 = 2252292186269
BaseRepresentation
bin10010101001101001…
…11111011011010100
3221211211102210102202
421110310333123110
5131001324041040
64333331424032
7503064022262
oct112464773324
927754383382
1010013112020
11427916029a
121b35455018
13c3762b672
146adbb7432
153d90ed015
hex254d3f6d4

10013112020 has 24 divisors (see below), whose sum is σ = 21119368200. Its totient is φ = 3987752832.

The previous prime is 10013112007. The next prime is 10013112029. The reversal of 10013112020 is 2021131001.

It can be written as a sum of positive squares in 4 ways, for example, as 1481634064 + 8531477956 = 38492^2 + 92366^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10013111992 and 10013112010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10013112029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1088555 + ... + 1097714.

It is an arithmetic number, because the mean of its divisors is an integer number (879973675).

Almost surely, 210013112020 is an apocalyptic number.

10013112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10013112020 is an abundant number, since it is smaller than the sum of its proper divisors (11106256180).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10013112020 is a wasteful number, since it uses less digits than its factorization.

10013112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2186507 (or 2186505 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10013112020 its reverse (2021131001), we get a palindrome (12034243021).

The spelling of 10013112020 in words is "ten billion, thirteen million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 229 458 916 1145 2290 4580 2186269 4372538 8745076 10931345 21862690 43725380 500655601 1001311202 2002622404 2503278005 5006556010 10013112020