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10120013232 = 2437175930029
BaseRepresentation
bin10010110110011001…
…10010010110110000
3222010021120221022220
421123030302112300
5131211210410412
64352111001040
7505532456520
oct113314622660
928107527286
1010120013232
1143235357aa
121b65209180
13c5381a414
146c0083680
153e36b768c
hex25b3325b0

10120013232 has 160 divisors (see below), whose sum is σ = 32172940800. Its totient is φ = 2675134464.

The previous prime is 10120013221. The next prime is 10120013237. The reversal of 10120013232 is 23231002101.

It is not an unprimeable number, because it can be changed into a prime (10120013237) 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, 321994 + ... + 352022.

It is an arithmetic number, because the mean of its divisors is an integer number (201080880).

Almost surely, 210120013232 is an apocalyptic number.

10120013232 is a gapful number since it is divisible by the number (12) 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 10120013232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16086470400).

10120013232 is an abundant number, since it is smaller than the sum of its proper divisors (22052927568).

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

10120013232 is a wasteful number, since it uses less digits than its factorization.

10120013232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30123 (or 30117 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10120013232 its reverse (23231002101), we get a palindrome (33351015333).

The spelling of 10120013232 in words is "ten billion, one hundred twenty million, thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 17 21 24 28 34 42 48 51 56 59 68 84 102 112 118 119 136 168 177 204 236 238 272 336 354 357 408 413 472 476 708 714 816 826 944 952 1003 1239 1416 1428 1652 1904 2006 2478 2832 2856 3009 3304 4012 4956 5712 6018 6608 7021 8024 9912 12036 14042 16048 19824 21063 24072 28084 30029 42126 48144 56168 60058 84252 90087 112336 120116 168504 180174 210203 240232 337008 360348 420406 480464 510493 630609 720696 840812 1020986 1261218 1441392 1531479 1681624 1771711 2041972 2522436 3062958 3363248 3543422 3573451 4083944 5044872 5315133 6125916 7086844 7146902 8167888 10089744 10630266 10720353 12251832 12401977 14173688 14293804 21260532 21440706 24503664 24803954 28347376 28587608 30119087 37205931 42521064 42881412 49607908 57175216 60238174 74411862 85042128 85762824 90357261 99215816 120476348 148823724 171525648 180714522 198431632 210833609 240952696 297647448 361429044 421667218 481905392 595294896 632500827 722858088 843334436 1265001654 1445716176 1686668872 2530003308 3373337744 5060006616 10120013232