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10023300120 = 2335166350227
BaseRepresentation
bin10010101010110111…
…10110110000011000
3221212112121101212210
421111123312300120
5131011431100440
64334334035120
7503246434221
oct112533666030
927775541783
1010023300120
114283989809
121b38948aa0
13c39787a22
146b12aa248
153d9e61a80
hex2556f6c18

10023300120 has 64 divisors (see below), whose sum is σ = 30088581120. Its totient is φ = 2671219584.

The previous prime is 10023300103. The next prime is 10023300139. The reversal of 10023300120 is 2100332001.

It is a happy number.

10023300120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 10023300096 and 10023300105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 174447 + ... + 224673.

It is an arithmetic number, because the mean of its divisors is an integer number (470134080).

Almost surely, 210023300120 is an apocalyptic number.

10023300120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10023300120 is an abundant number, since it is smaller than the sum of its proper divisors (20065281000).

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

10023300120 is a wasteful number, since it uses less digits than its factorization.

10023300120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51904 (or 51900 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 10023300120 its reverse (2100332001), we get a palindrome (12123632121).

The spelling of 10023300120 in words is "ten billion, twenty-three million, three hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1663 3326 4989 6652 8315 9978 13304 16630 19956 24945 33260 39912 49890 50227 66520 99780 100454 150681 199560 200908 251135 301362 401816 502270 602724 753405 1004540 1205448 1506810 2009080 3013620 6027240 83527501 167055002 250582503 334110004 417637505 501165006 668220008 835275010 1002330012 1252912515 1670550020 2004660024 2505825030 3341100040 5011650060 10023300120