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130132113100344 = 233216312299022201
BaseRepresentation
bin11101100101101010111110…
…011000000000111000111000
3122001202111201201010011010100
4131211222332120000320320
5114024041031423202334
61140433511212115400
736260510034424305
oct3545527630007070
9561674651104110
10130132113100344
11385117a0342983
1212718585465b60
13577c537183644
14241c5dc1640ac
15100a07cbb0c99
hex765abe600e38

130132113100344 has 96 divisors (see below), whose sum is σ = 354891924550800. Its totient is φ = 43076169100800.

The previous prime is 130132113100343. The next prime is 130132113100361. The reversal of 130132113100344 is 443001311231031.

130132113100344 is a `hidden beast` number, since 1 + 3 + 0 + 1 + 3 + 2 + 1 + 1 + 310 + 0 + 344 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130132113100343) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9912444 + ... + 18934644.

Almost surely, 2130132113100344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130132113100344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177445962275400).

130132113100344 is an abundant number, since it is smaller than the sum of its proper divisors (224759811450456).

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

130132113100344 is a wasteful number, since it uses less digits than its factorization.

130132113100344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9023605 (or 9023598 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 130132113100344 its reverse (443001311231031), we get a palindrome (573133424331375).

The spelling of 130132113100344 in words is "one hundred thirty trillion, one hundred thirty-two billion, one hundred thirteen million, one hundred thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 326 489 652 978 1229 1304 1467 1956 2458 2934 3687 3912 4916 5868 7374 9832 11061 11736 14748 22122 29496 44244 88488 200327 400654 600981 801308 1201962 1602616 1802943 2403924 3605886 4807848 7211772 9022201 14423544 18044402 27066603 36088804 54133206 72177608 81199809 108266412 162399618 216532824 324799236 649598472 1470618763 2941237526 4411856289 5882475052 8823712578 11088285029 11764950104 13235568867 17647425156 22176570058 26471137734 33264855087 35294850312 44353140116 52942275468 66529710174 88706280232 99794565261 105884550936 133059420348 199589130522 266118840696 399178261044 798356522088 1807390459727 3614780919454 5422171379181 7229561838908 10844342758362 14459123677816 16266514137543 21688685516724 32533028275086 43377371033448 65066056550172 130132113100344