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130031166020610 = 23547883145371879
BaseRepresentation
bin11101100100001100111101…
…011101011101110000000010
3122001101212011112101011201110
4131210030331131131300002
5114020412312000124420
61140315254253544150
736250304340414351
oct3544147535356002
9561355145334643
10130031166020610
11384829a9349858
1212700ab24a5056
135772b6a3a53ba
14241778340d998
151007620749ee0
hex76433d75dc02

130031166020610 has 128 divisors (see below), whose sum is σ = 319299673006080. Its totient is φ = 33874976653056.

The previous prime is 130031166020599. The next prime is 130031166020617. The reversal of 130031166020610 is 16020661130031.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (130031166020617) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1808992651 + ... + 1809064529.

It is an arithmetic number, because the mean of its divisors is an integer number (2494528695360).

Almost surely, 2130031166020610 is an apocalyptic number.

130031166020610 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 130031166020610, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159649836503040).

130031166020610 is an abundant number, since it is smaller than the sum of its proper divisors (189268506985470).

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

130031166020610 is a wasteful number, since it uses less digits than its factorization.

130031166020610 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74272.

The product of its (nonzero) digits is 3888, while the sum is 30.

The spelling of 130031166020610 in words is "one hundred thirty trillion, thirty-one billion, one hundred sixty-six million, twenty thousand, six hundred ten".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 282 470 705 883 1410 1453 1766 2649 2906 4359 4415 5298 7265 8718 8830 13245 14530 21795 26490 41501 43590 68291 71879 83002 124503 136582 143758 204873 207505 215637 249006 341455 359395 409746 415010 431274 622515 682910 718790 1024365 1078185 1245030 1282999 2048730 2156370 2565998 3378313 3848997 6414995 6756626 7697994 10134939 12829990 16891565 19244985 20269878 33783130 38489970 50674695 60300953 63469157 101349390 104440187 120601906 126938314 180902859 190407471 208880374 301504765 313320561 317345785 361805718 380814942 522200935 603009530 626641122 634691570 904514295 952037355 1044401870 1566602805 1809028590 1904074710 2983050379 3133205610 4908688789 5966100758 8949151137 9817377578 14726066367 14915251895 17898302274 24543443945 29452132734 29830503790 44745755685 49086887890 73630331835 89491511370 92220685121 147260663670 184441370242 276662055363 461103425605 553324110726 922206851210 1383310276815 2766620553630 4334372200687 8668744401374 13003116602061 21671861003435 26006233204122 43343722006870 65015583010305 130031166020610