Search a number
-
+
130132220033211 = 311531011076884777
BaseRepresentation
bin11101100101101011000100…
…101111111011100010111011
3122001202112000011022220102220
4131211223010233323202323
5114024041241312030321
61140433525552055123
736260512503353034
oct3545530457734273
9561675004286386
10130132220033211
113851184573a150
12127185b52344a3
13577c553383926
14241c60c43ba8b
15100a0872849c6
hex765ac4bfb8bb

130132220033211 has 64 divisors (see below), whose sum is σ = 196584315849216. Its totient is φ = 75897770624000.

The previous prime is 130132220033203. The next prime is 130132220033213. The reversal of 130132220033211 is 112330022231031.

It is not a de Polignac number, because 130132220033211 - 23 = 130132220033203 is a prime.

It is not an unprimeable number, because it can be changed into a prime (130132220033213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15459055 + ... + 22343831.

It is an arithmetic number, because the mean of its divisors is an integer number (3071629935144).

Almost surely, 2130132220033211 is an apocalyptic number.

130132220033211 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

130132220033211 is a deficient number, since it is larger than the sum of its proper divisors (66452095816005).

130132220033211 is a wasteful number, since it uses less digits than its factorization.

130132220033211 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6885052.

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 130132220033211 its reverse (112330022231031), we get a palindrome (242462242264242).

The spelling of 130132220033211 in words is "one hundred thirty trillion, one hundred thirty-two billion, two hundred twenty million, thirty-three thousand, two hundred eleven".

Divisors: 1 3 11 33 53 101 107 159 303 321 583 1111 1177 1749 3333 3531 5353 5671 10807 16059 17013 32421 58883 62381 118877 176649 187143 356631 572771 1718313 6300481 6884777 18901443 20654331 75732547 227197641 364893181 695362477 736671139 1094679543 2086087431 2210013417 4013824991 7648987247 8103382529 12041474973 22946961741 24310147587 36854211281 39043570367 74403785039 110562633843 117130711101 223211355117 405396324091 429479274037 818441635429 1216188972273 1288437822111 2455324906287 3943400607067 11830201821201 43377406677737 130132220033211