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130322132031312 = 24321369616523521
BaseRepresentation
bin11101101000011011111100…
…011000101101011101010000
3122002102200012110020222220100
4131220123330120231131100
5114040144211300000222
61141101054433212400
736310314630613554
oct3550337430553520
9562380173228810
10130322132031312
113858534004a1a1
1212749376401100
13579442a6b2cc0
1424278a680d864
15100ee9ec664ac
hex7686fc62d750

130322132031312 has 60 divisors (see below), whose sum is σ = 392776425711124. Its totient is φ = 40099117547520.

The previous prime is 130322132031307. The next prime is 130322132031331. The reversal of 130322132031312 is 213130231223031.

130322132031312 is a `hidden beast` number, since 1 + 3 + 0 + 3 + 2 + 21 + 320 + 3 + 1 + 312 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 68065866041616 + 62256265989696 = 8250204^2 + 7890264^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 34808259889 + ... + 34808263632.

Almost surely, 2130322132031312 is an apocalyptic number.

130322132031312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

130322132031312 is an abundant number, since it is smaller than the sum of its proper divisors (262454293679812).

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

130322132031312 is a wasteful number, since it uses less digits than its factorization.

130322132031312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69616523548 (or 69616523539 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 130322132031312 its reverse (213130231223031), we get a palindrome (343452363254343).

The spelling of 130322132031312 in words is "one hundred thirty trillion, three hundred twenty-two billion, one hundred thirty-two million, thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 624 936 1872 69616523521 139233047042 208849570563 278466094084 417699141126 556932188168 626548711689 835398282252 905014805773 1113864376336 1253097423378 1670796564504 1810029611546 2506194846756 2715044417319 3341593129008 3620059223092 5012389693512 5430088834638 7240118446184 8145133251957 10024779387024 10860177669276 14480236892368 16290266503914 21720355338552 32580533007828 43440710677104 65161066015656 130322132031312