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10523113830 = 2325116923487
BaseRepresentation
bin10011100110011100…
…11111100101100110
31000011101002120101200
421303032133211212
5133022404120310
64500110503330
7521525664105
oct116316374546
930141076350
1010523113830
114510029199
122058204b46
13cb91a6098
1471b81403c
15418c8e9c0
hex27339f966

10523113830 has 24 divisors (see below), whose sum is σ = 27360096192. Its totient is φ = 2806163664.

The previous prime is 10523113823. The next prime is 10523113859. The reversal of 10523113830 is 3831132501.

10523113830 is a `hidden beast` number, since 1 + 0 + 523 + 1 + 138 + 3 + 0 = 666.

It is a super-2 number, since 2×105231138302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10523113794 and 10523113803.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58461654 + ... + 58461833.

It is an arithmetic number, because the mean of its divisors is an integer number (1140004008).

Almost surely, 210523113830 is an apocalyptic number.

10523113830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10523113830 is an abundant number, since it is smaller than the sum of its proper divisors (16836982362).

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

10523113830 is a wasteful number, since it uses less digits than its factorization.

10523113830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116923500 (or 116923497 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 10523113830 in words is "ten billion, five hundred twenty-three million, one hundred thirteen thousand, eight hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 116923487 233846974 350770461 584617435 701540922 1052311383 1169234870 1753852305 2104622766 3507704610 5261556915 10523113830