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221130313013322 = 2343746778997739
BaseRepresentation
bin110010010001110111101001…
…110000011001100001001010
31001222221211222201102221220000
4302101313221300121201022
5212440444340112411242
62102145510254143430
764402065204412206
oct6221675160314112
91058854881387800
10221130313013322
11645059259279a9
12209746524b1b76
13965066451904b
143c86a9b193b06
151a87190c2ea4c
hexc91de9c1984a

221130313013322 has 80 divisors (see below), whose sum is σ = 509977178362080. Its totient is φ = 71564366845152.

The previous prime is 221130313013321. The next prime is 221130313013371. The reversal of 221130313013322 is 223310313031122.

221130313013322 is a `hidden beast` number, since 2 + 2 + 1 + 1 + 3 + 0 + 31 + 301 + 3 + 322 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (221130313013321) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 36699672 + ... + 42298067.

It is an arithmetic number, because the mean of its divisors is an integer number (6374714729526).

Almost surely, 2221130313013322 is an apocalyptic number.

221130313013322 is an abundant number, since it is smaller than the sum of its proper divisors (288846865348758).

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

221130313013322 is a wasteful number, since it uses less digits than its factorization.

221130313013322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 78998257 (or 78998248 counting only the distinct ones).

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

Adding to 221130313013322 its reverse (223310313031122), we get a palindrome (444440626044444).

The spelling of 221130313013322 in words is "two hundred twenty-one trillion, one hundred thirty billion, three hundred thirteen million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 18 27 37 54 74 81 111 162 222 333 467 666 934 999 1401 1998 2802 2997 4203 5994 8406 12609 17279 25218 34558 37827 51837 75654 103674 155511 311022 466533 933066 1399599 2799198 78997739 157995478 236993217 473986434 710979651 1421959302 2132938953 2922916343 4265877906 5845832686 6398816859 8768749029 12797633718 17537498058 26306247087 36891944113 52612494174 73783888226 78918741261 110675832339 157837482522 221351664678 236756223783 332027497017 473512447566 664054994034 996082491051 1365001932181 1992164982102 2730003864362 2988247473153 4095005796543 5976494946306 8190011593086 12285017389629 24570034779258 36855052168887 73710104337774 110565156506661 221130313013322