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10124721860 = 22511297321739
BaseRepresentation
bin10010110110111101…
…01111111011000100
3222010121110011100112
421123132233323010
5131213412044420
64352355532152
7505620500351
oct113336577304
928117404315
1010124721860
114326161430
121b668ba058
13c547a86a6
146c094b628
153e3ce78c5
hex25b7afec4

10124721860 has 96 divisors (see below), whose sum is σ = 24324451200. Its totient is φ = 3505904640.

The previous prime is 10124721857. The next prime is 10124721869. The reversal of 10124721860 is 6812742101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (10124721869) 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, 454871 + ... + 476609.

It is an arithmetic number, because the mean of its divisors is an integer number (253379700).

Almost surely, 210124721860 is an apocalyptic number.

10124721860 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 10124721860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12162225600).

10124721860 is an abundant number, since it is smaller than the sum of its proper divisors (14199729340).

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

10124721860 is a wasteful number, since it uses less digits than its factorization.

10124721860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21861 (or 21859 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 32.

The spelling of 10124721860 in words is "ten billion, one hundred twenty-four million, seven hundred twenty-one thousand, eight hundred sixty".

Divisors: 1 2 4 5 10 11 20 22 29 44 55 58 73 110 116 145 146 220 290 292 319 365 580 638 730 803 1276 1460 1595 1606 2117 3190 3212 4015 4234 6380 8030 8468 10585 16060 21170 21739 23287 42340 43478 46574 86956 93148 108695 116435 217390 232870 239129 434780 465740 478258 630431 956516 1195645 1260862 1586947 2391290 2521724 3152155 3173894 4782580 6304310 6347788 6934741 7934735 12608620 13869482 15869470 17456417 27738964 31738940 34673705 34912834 46021463 69347410 69825668 87282085 92042926 138694820 174564170 184085852 230107315 349128340 460214630 506236093 920429260 1012472186 2024944372 2531180465 5062360930 10124721860