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130817940572145 = 351923291096313499
BaseRepresentation
bin11101101111101001101100…
…111000001100011111110001
3122011012001222012111112002110
4131233221230320030133301
5114121310120241302040
61142120533211035533
736361166342643531
oct3557515470143761
9564161865445073
10130817940572145
1138756639044352
121280948773bba9
1357cc104355708
14244389d0c14c1
15101cd1c905980
hex76fa6ce0c7f1

130817940572145 has 128 divisors (see below), whose sum is σ = 240014016000000. Its totient is φ = 60483512871936.

The previous prime is 130817940572117. The next prime is 130817940572159. The reversal of 130817940572145 is 541275049718031.

It is not a de Polignac number, because 130817940572145 - 214 = 130817940555761 is a prime.

It is a super-2 number, since 2×1308179405721452 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 17563606 + ... + 23877104.

It is an arithmetic number, because the mean of its divisors is an integer number (1875109500000).

Almost surely, 2130817940572145 is an apocalyptic number.

130817940572145 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130817940572145 is a deficient number, since it is larger than the sum of its proper divisors (109196075427855).

130817940572145 is a wasteful number, since it uses less digits than its factorization.

130817940572145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6313687.

The product of its (nonzero) digits is 8467200, while the sum is 57.

The spelling of 130817940572145 in words is "one hundred thirty trillion, eight hundred seventeen billion, nine hundred forty million, five hundred seventy-two thousand, one hundred forty-five".

Divisors: 1 3 5 15 19 23 29 57 69 87 95 109 115 145 285 327 345 435 437 545 551 667 1311 1635 1653 2001 2071 2185 2507 2755 3161 3335 6213 6555 7521 8265 9483 10005 10355 12535 12673 15805 31065 37605 38019 47415 47633 60059 63365 72703 142899 180177 190095 218109 238165 300295 363515 714495 900885 1090545 1381357 4144071 6313499 6906785 18940497 20720355 31567495 94702485 119956481 145210477 183091471 359869443 435631431 549274413 599782405 688171391 726052385 915457355 1799347215 2064514173 2178157155 2746372065 2758999063 3440856955 3478737949 4211103833 8276997189 10322570865 10436213847 12633311499 13075256429 13794995315 15827941993 17393689745 19956970339 21055519165 39225769287 41384985945 47483825979 52181069235 59870911017 63166557495 65376282145 79139709965 80010972827 99784851695 196128846435 237419129895 240032918481 299354555085 300730897867 379182436441 400054864135 459010317797 902192693601 1137547309323 1200164592405 1377030953391 1503654489335 1895912182205 2295051588985 4510963468005 5687736546615 6885154766955 8721196038143 26163588114429 43605980190715 130817940572145