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23130120100 = 22521713605953
BaseRepresentation
bin10101100010101010…
…011001111110100100
32012200222101211210211
4111202222121332210
5334332302320400
614343102425204
71446120530323
oct254252317644
965628354724
1023130120100
11989a39363a
124596292204
13224801a4c9
141195cc00ba
15905963dba
hex562a99fa4

23130120100 has 36 divisors (see below), whose sum is σ = 53144856324. Its totient is φ = 8707809280.

The previous prime is 23130120061. The next prime is 23130120103. The reversal of 23130120100 is 102103132.

It can be written as a sum of positive squares in 6 ways, for example, as 816930724 + 22313189376 = 28582^2 + 149376^2 .

It is not an unprimeable number, because it can be changed into a prime (23130120103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6801277 + ... + 6804676.

It is an arithmetic number, because the mean of its divisors is an integer number (1476246009).

Almost surely, 223130120100 is an apocalyptic number.

23130120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

23130120100 is an abundant number, since it is smaller than the sum of its proper divisors (30014736224).

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

23130120100 is a wasteful number, since it uses less digits than its factorization.

23130120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13605984 (or 13605977 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 23130120100 its reverse (102103132), we get a palindrome (23232223232).

The spelling of 23130120100 in words is "twenty-three billion, one hundred thirty million, one hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13605953 27211906 54423812 68029765 136059530 231301201 272119060 340148825 462602402 680297650 925204804 1156506005 1360595300 2313012010 4626024020 5782530025 11565060050 23130120100