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130043705322312 = 23335099118072993
BaseRepresentation
bin11101100100011000101000…
…110111000110101101001000
3122001110001112102021200221000
4131210120220313012231020
5114021114002030303222
61140325130430415000
736251230150624305
oct3544305067065510
9561401472250830
10130043705322312
1138488253470811
1212703411961460
1357740b81a2a52
1424182128d40ac
151007b064e89ac
hex764628dc6b48

130043705322312 has 64 divisors (see below), whose sum is σ = 361303361640000. Its totient is φ = 43339400151552.

The previous prime is 130043705322277. The next prime is 130043705322319. The reversal of 130043705322312 is 213223507340031.

130043705322312 is a `hidden beast` number, since 1 + 3 + 0 + 0 + 4 + 370 + 53 + 2 + 231 + 2 = 666.

It is a super-2 number, since 2×1300437053223122 (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 not an unprimeable number, because it can be changed into a prime (130043705322319) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 57935113 + ... + 60137880.

It is an arithmetic number, because the mean of its divisors is an integer number (5645365025625).

Almost surely, 2130043705322312 is an apocalyptic number.

130043705322312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130043705322312 is an abundant number, since it is smaller than the sum of its proper divisors (231259656317688).

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

130043705322312 is a wasteful number, since it uses less digits than its factorization.

130043705322312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118078107 (or 118078097 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 36.

The spelling of 130043705322312 in words is "one hundred thirty trillion, forty-three billion, seven hundred five million, three hundred twenty-two thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 5099 10198 15297 20396 30594 40792 45891 61188 91782 122376 137673 183564 275346 367128 550692 1101384 118072993 236145986 354218979 472291972 708437958 944583944 1062656937 1416875916 2125313874 2833751832 3187970811 4250627748 6375941622 8501255496 12751883244 25503766488 602054191307 1204108382614 1806162573921 2408216765228 3612325147842 4816433530456 5418487721763 7224650295684 10836975443526 14449300591368 16255463165289 21673950887052 32510926330578 43347901774104 65021852661156 130043705322312