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10120332020 = 2252393211457
BaseRepresentation
bin10010110110011100…
…00000001011110100
3222010022012010121212
421123032000023310
5131211301111040
64352121500552
7505535255111
oct113316001364
928108163555
1010120332020
114323733267
121b65341758
13c538cc556
146c0127908
153e372bd65
hex25b3802f4

10120332020 has 24 divisors (see below), whose sum is σ = 21261678984. Its totient is φ = 4046422016.

The previous prime is 10120331993. The next prime is 10120332023. The reversal of 10120332020 is 2023302101.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 685706596 + 9434625424 = 26186^2 + 97132^2 .

It is a super-2 number, since 2×101203320202 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10120331986 and 10120332004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120332023) 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, 57869 + ... + 153588.

It is an arithmetic number, because the mean of its divisors is an integer number (885903291).

Almost surely, 210120332020 is an apocalyptic number.

10120332020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10120332020 is an abundant number, since it is smaller than the sum of its proper divisors (11141346964).

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

10120332020 is a wasteful number, since it uses less digits than its factorization.

10120332020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213859 (or 213857 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10120332020 its reverse (2023302101), we get a palindrome (12143634121).

The spelling of 10120332020 in words is "ten billion, one hundred twenty million, three hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 2393 4786 9572 11965 23930 47860 211457 422914 845828 1057285 2114570 4229140 506016601 1012033202 2024066404 2530083005 5060166010 10120332020