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10113120020 = 2252861176741
BaseRepresentation
bin10010110101100100…
…11111011100010100
3222002210121201121202
421122302133130110
5131202424320040
64351303132032
7505420046633
oct113262373424
928083551552
1010113120020
11431a657833
121b62a44018
13c522759b3
146bd1ab51a
153e2ca5015
hex25ac9f714

10113120020 has 24 divisors (see below), whose sum is σ = 21245095368. Its totient is φ = 4043811200.

The previous prime is 10113119999. The next prime is 10113120023. The reversal of 10113120020 is 2002131101.

It can be written as a sum of positive squares in 4 ways, for example, as 91508356 + 10021611664 = 9566^2 + 100108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 10113119983 and 10113120010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10113120023) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31151 + ... + 145590.

It is an arithmetic number, because the mean of its divisors is an integer number (885212307).

Almost surely, 210113120020 is an apocalyptic number.

10113120020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10113120020 is an abundant number, since it is smaller than the sum of its proper divisors (11131975348).

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

10113120020 is a wasteful number, since it uses less digits than its factorization.

10113120020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179611 (or 179609 counting only the distinct ones).

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

Adding to 10113120020 its reverse (2002131101), we get a palindrome (12115251121).

The spelling of 10113120020 in words is "ten billion, one hundred thirteen million, one hundred twenty thousand, twenty".

Divisors: 1 2 4 5 10 20 2861 5722 11444 14305 28610 57220 176741 353482 706964 883705 1767410 3534820 505656001 1011312002 2022624004 2528280005 5056560010 10113120020