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130311635701032 = 233312972909159899
BaseRepresentation
bin11101101000010010001010…
…110000011000110100101000
3122002101200002221120011122000
4131220102022300120310220
5114040011212214413112
61141052201120331000
736306463545360552
oct3550221260306450
9562350087504560
10130311635701032
1138580944154975
1212747327173a60
135793446c26b96
14242718c7ac4d2
15100ea885177dc
hex76848ac18d28

130311635701032 has 128 divisors (see below), whose sum is σ = 362382649200000. Its totient is φ = 43388529527808.

The previous prime is 130311635701019. The next prime is 130311635701067. The reversal of 130311635701032 is 230107536113031.

130311635701032 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 1 + 1 + 635 + 7 + 0 + 10 + 3 + 2 = 666.

It is a super-2 number, since 2×1303116357010322 (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 814882219 + ... + 815042117.

It is an arithmetic number, because the mean of its divisors is an integer number (2831114446875).

Almost surely, 2130311635701032 is an apocalyptic number.

130311635701032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130311635701032 is an abundant number, since it is smaller than the sum of its proper divisors (232071013498968).

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

130311635701032 is a wasteful number, since it uses less digits than its factorization.

130311635701032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164120 (or 164110 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 130311635701032 in words is "one hundred thirty trillion, three hundred eleven billion, six hundred thirty-five million, seven hundred one thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 1297 2594 2909 3891 5188 5818 7782 8727 10376 11636 11673 15564 17454 23272 23346 26181 31128 34908 35019 46692 52362 69816 70038 78543 93384 104724 140076 157086 159899 209448 280152 314172 319798 479697 628344 639596 959394 1279192 1439091 1918788 2878182 3772973 3837576 4317273 5756364 7545946 8634546 11318919 11512728 15091892 17269092 22637838 30183784 33956757 34538184 45275676 67913514 90551352 101870271 135827028 203740542 207389003 271654056 407481084 414778006 465146191 622167009 814962168 829556012 930292382 1244334018 1395438573 1659112024 1860584764 1866501027 2488668036 2790877146 3721169528 3733002054 4186315719 4977336072 5581754292 5599503081 7466004108 8372631438 11163508584 11199006162 12558947157 14932008216 16745262876 22398012324 25117894314 33490525752 44796024648 50235788628 100471577256 603294609727 1206589219454 1809883829181 2413178438908 3619767658362 4826356877816 5429651487543 7239535316724 10859302975086 14479070633448 16288954462629 21718605950172 32577908925258 43437211900344 65155817850516 130311635701032