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10120333020 = 2235728185751
BaseRepresentation
bin10010110110011100…
…00000011011011100
3222010022012011222220
421123032000123130
5131211301124040
64352121505340
7505535261040
oct113316003334
928108164886
1010120333020
114323733a96
121b65342250
13c538ccb45
146c0128020
153e372c2d0
hex25b3806dc

10120333020 has 96 divisors (see below), whose sum is σ = 32500694016. Its totient is φ = 2304960000.

The previous prime is 10120333007. The next prime is 10120333021. The reversal of 10120333020 is 2033302101.

It is a super-2 number, since 2×101203330202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10120333021) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75145 + ... + 160895.

It is an arithmetic number, because the mean of its divisors is an integer number (338548896).

Almost surely, 210120333020 is an apocalyptic number.

10120333020 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 10120333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16250347008).

10120333020 is an abundant number, since it is smaller than the sum of its proper divisors (22380360996).

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

10120333020 is a wasteful number, since it uses less digits than its factorization.

10120333020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86051 (or 86049 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 10120333020 its reverse (2033302101), we get a palindrome (12153635121).

The spelling of 10120333020 in words is "ten billion, one hundred twenty million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 281 420 562 843 1124 1405 1686 1967 2810 3372 3934 4215 5620 5901 7868 8430 9835 11802 16860 19670 23604 29505 39340 59010 85751 118020 171502 257253 343004 428755 514506 600257 857510 1029012 1200514 1286265 1715020 1800771 2401028 2572530 3001285 3601542 5145060 6002570 7203084 9003855 12005140 18007710 24096031 36015420 48192062 72288093 96384124 120480155 144576186 168672217 240960310 289152372 337344434 361440465 481920620 506016651 674688868 722880930 843361085 1012033302 1445761860 1686722170 2024066604 2530083255 3373444340 5060166510 10120333020