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10120112020 = 2252917448469
BaseRepresentation
bin10010110110011010…
…01010011110010100
3222010021202221211201
421123031022132110
5131211222041040
64352113042244
7505533350524
oct113315123624
928107687751
1010120112020
1143235a2a47
121b65256384
13c53853385
146c00ab684
153e36d6a9a
hex25b34a794

10120112020 has 24 divisors (see below), whose sum is σ = 21985072200. Its totient is φ = 3908456832.

The previous prime is 10120112011. The next prime is 10120112039. The reversal of 10120112020 is 2021102101.

10120112020 is digitally balanced in base 2, 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 4 ways, for example, as 4177936 + 10115934084 = 2044^2 + 100578^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 10120111988 and 10120112006.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 8723655 + ... + 8724814.

It is an arithmetic number, because the mean of its divisors is an integer number (916044675).

Almost surely, 210120112020 is an apocalyptic number.

10120112020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120112020 is an abundant number, since it is smaller than the sum of its proper divisors (11864960180).

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

10120112020 is a wasteful number, since it uses less digits than its factorization.

10120112020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17448507 (or 17448505 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 10120112020 its reverse (2021102101), we get a palindrome (12141214121).

The spelling of 10120112020 in words is "ten billion, one hundred twenty million, one hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 29 58 116 145 290 580 17448469 34896938 69793876 87242345 174484690 348969380 506005601 1012011202 2024022404 2530028005 5060056010 10120112020