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10123442120 = 2351123007823
BaseRepresentation
bin10010110110110011…
…10111011111001000
3222010112001010212202
421123121313133020
5131213100121440
64352312255332
7505603560341
oct113331673710
928115033782
1010123442120
1143254679a0
121b663a1548
13c5444b04c
146c06d70c8
153e3b43615
hex25b6777c8

10123442120 has 32 divisors (see below), whose sum is σ = 24848449920. Its totient is φ = 3681251520.

The previous prime is 10123442071. The next prime is 10123442129. The reversal of 10123442120 is 2124432101.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 10123442092 and 10123442101.

It is not an unprimeable number, because it can be changed into a prime (10123442129) 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, 11503472 + ... + 11504351.

It is an arithmetic number, because the mean of its divisors is an integer number (776514060).

Almost surely, 210123442120 is an apocalyptic number.

10123442120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10123442120 is an abundant number, since it is smaller than the sum of its proper divisors (14725007800).

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

10123442120 is a wasteful number, since it uses less digits than its factorization.

10123442120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23007845 (or 23007841 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 10123442120 its reverse (2124432101), we get a palindrome (12247874221).

The spelling of 10123442120 in words is "ten billion, one hundred twenty-three million, four hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 23007823 46015646 92031292 115039115 184062584 230078230 253086053 460156460 506172106 920312920 1012344212 1265430265 2024688424 2530860530 5061721060 10123442120