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10330138718120 = 23513192773774587
BaseRepresentation
bin1001011001010010110000…
…1111111010111110101000
31100120112220010110210102202
42112110230033322332220
52323222111002434440
633545333351315332
72114220316216544
oct226245417727650
940515803423382
1010330138718120
113322a95000321
1211aa07267bb48
1359c187ccac40
14279da4ca8a24
1512da9d4cc615
hex9652c3fafa8

10330138718120 has 128 divisors (see below), whose sum is σ = 26443253692800. Its totient is φ = 3600411503616.

The previous prime is 10330138718111. The next prime is 10330138718209. The reversal of 10330138718120 is 2181783103301.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849467 + ... + 4624053.

It is an arithmetic number, because the mean of its divisors is an integer number (206587919475).

Almost surely, 210330138718120 is an apocalyptic number.

10330138718120 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 10330138718120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13221626846400).

10330138718120 is an abundant number, since it is smaller than the sum of its proper divisors (16113114974680).

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

10330138718120 is a wasteful number, since it uses less digits than its factorization.

10330138718120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3774907 (or 3774903 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 38.

The spelling of 10330138718120 in words is "ten trillion, three hundred thirty billion, one hundred thirty-eight million, seven hundred eighteen thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 13 19 20 26 38 40 52 65 76 95 104 130 152 190 247 260 277 380 494 520 554 760 988 1108 1235 1385 1976 2216 2470 2770 3601 4940 5263 5540 7202 9880 10526 11080 14404 18005 21052 26315 28808 36010 42104 52630 68419 72020 105260 136838 144040 210520 273676 342095 547352 684190 1368380 2736760 3774587 7549174 15098348 18872935 30196696 37745870 49069631 71717153 75491740 98139262 143434306 150983480 196278524 245348155 286868612 358585765 392557048 490696310 573737224 717171530 932322989 981392620 1045560599 1434343060 1864645978 1962785240 2091121198 2868686120 3729291956 4182242396 4661614945 5227802995 7458583912 8364484792 9323229890 10455605990 13592287787 18646459780 19865651381 20911211980 27184575574 37292919560 39731302762 41822423960 54369151148 67961438935 79462605524 99328256905 108738302296 135922877870 158925211048 198656513810 258253467953 271845755740 397313027620 516506935906 543691511480 794626055240 1033013871812 1291267339765 2066027743624 2582534679530 5165069359060 10330138718120