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10104780131352 = 233417917282147
BaseRepresentation
bin1001001100001011001111…
…0101001000110000011000
31022210000012111112102120000
42103002303311020300120
52311024042203200402
633254023310533000
72062021604641644
oct223026365106030
938700174472500
1010104780131352
11324645aa535a5
12117245a507160
13583b520a3b4a
1426d106d79c24
15127cadb52c1c
hex930b3d48c18

10104780131352 has 80 divisors (see below), whose sum is σ = 29967607775160. Its totient is φ = 3170127096576.

The previous prime is 10104780131297. The next prime is 10104780131371. The reversal of 10104780131352 is 25313108740101.

10104780131352 is a `hidden beast` number, since 1 + 0 + 1 + 0 + 478 + 0 + 131 + 3 + 52 = 666.

It is a super-2 number, since 2×101047801313522 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 458630058 + ... + 458652089.

Almost surely, 210104780131352 is an apocalyptic number.

10104780131352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10104780131352 is an abundant number, since it is smaller than the sum of its proper divisors (19862827643808).

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

10104780131352 is a wasteful number, since it uses less digits than its factorization.

10104780131352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 917282182 (or 917282169 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

Adding to 10104780131352 its reverse (25313108740101), we get a palindrome (35417888871453).

The spelling of 10104780131352 in words is "ten trillion, one hundred four billion, seven hundred eighty million, one hundred thirty-one thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 17 18 24 27 34 36 51 54 68 72 81 102 108 136 153 162 204 216 306 324 408 459 612 648 918 1224 1377 1836 2754 3672 5508 11016 917282147 1834564294 2751846441 3669128588 5503692882 7338257176 8255539323 11007385764 15593796499 16511078646 22014771528 24766617969 31187592998 33022157292 46781389497 49533235938 62375185996 66044314584 74299853907 93562778994 99066471876 124750371992 140344168491 148599707814 187125557988 198132943752 280688336982 297199415628 374251115976 421032505473 561376673964 594398831256 842065010946 1122753347928 1263097516419 1684130021892 2526195032838 3368260043784 5052390065676 10104780131352