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10023232120 = 2351140955697
BaseRepresentation
bin10010101010110111…
…00110001001111000
3221212112110221121021
421111123212021320
5131011421411440
64334332352224
7503246032036
oct112533461170
927775427537
1010023232120
114283942710
121b38915674
13c39762aa5
146b128d556
153d9e4b84a
hex2556e6278

10023232120 has 64 divisors (see below), whose sum is σ = 24663074400. Its totient is φ = 3635834880.

The previous prime is 10023232027. The next prime is 10023232133. The reversal of 10023232120 is 2123232001.

10023232120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 10023232094 and 10023232103.

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, 152112 + ... + 207808.

Almost surely, 210023232120 is an apocalyptic number.

10023232120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10023232120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12331537200).

10023232120 is an abundant number, since it is smaller than the sum of its proper divisors (14639842280).

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

10023232120 is a wasteful number, since it uses less digits than its factorization.

10023232120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56128 (or 56124 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10023232120 its reverse (2123232001), we get a palindrome (12146464121).

The spelling of 10023232120 in words is "ten billion, twenty-three million, two hundred thirty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 409 440 818 1636 2045 3272 4090 4499 8180 8998 16360 17996 22495 35992 44990 55697 89980 111394 179960 222788 278485 445576 556970 612667 1113940 1225334 2227880 2450668 3063335 4901336 6126670 12253340 22780073 24506680 45560146 91120292 113900365 182240584 227800730 250580803 455601460 501161606 911202920 1002323212 1252904015 2004646424 2505808030 5011616060 10023232120