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10120023320 = 2351135964067
BaseRepresentation
bin10010110110011001…
…10100110100011000
3222010021121110011112
421123030310310120
5131211211221240
64352111115452
7505532531111
oct113314646430
928107543145
1010120023320
114323542340
121b65212b88
13c53821ba4
146c0087208
153e36ba665
hex25b334d18

10120023320 has 64 divisors (see below), whose sum is σ = 24909638400. Its totient is φ = 3669700480.

The previous prime is 10120023301. The next prime is 10120023341. The reversal of 10120023320 is 2332002101.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 10120023295 and 10120023304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 125927 + ... + 189993.

It is an arithmetic number, because the mean of its divisors is an integer number (389213100).

Almost surely, 210120023320 is an apocalyptic number.

10120023320 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 10120023320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12454819200).

10120023320 is an abundant number, since it is smaller than the sum of its proper divisors (14789615080).

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

10120023320 is a wasteful number, since it uses less digits than its factorization.

10120023320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64448 (or 64444 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 10120023320 its reverse (2332002101), we get a palindrome (12452025421).

The spelling of 10120023320 in words is "ten billion, one hundred twenty million, twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 359 440 718 1436 1795 2872 3590 3949 7180 7898 14360 15796 19745 31592 39490 64067 78980 128134 157960 256268 320335 512536 640670 704737 1281340 1409474 2562680 2818948 3523685 5637896 7047370 14094740 23000053 28189480 46000106 92000212 115000265 184000424 230000530 253000583 460001060 506001166 920002120 1012002332 1265002915 2024004664 2530005830 5060011660 10120023320