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221312144342430 = 232519227191569663
BaseRepresentation
bin110010010100100000111111…
…101111110111110110011110
31002000121020022212011112101200
4302110200333233313312132
5213001434232422424210
62102405221234420330
764421163151252221
oct6224407757676636
91060536285145350
10221312144342430
1164575a53981809
12209a39394316a6
13966485169c58b
143c917ca29d5b8
151a8bc840ce0c0
hexc9483fbf7d9e

221312144342430 has 96 divisors (see below), whose sum is σ = 605700124323840. Its totient is φ = 55910092224960.

The previous prime is 221312144342413. The next prime is 221312144342573. The reversal of 221312144342430 is 34243441213122.

221312144342430 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 1 + 214 + 4 + 3 + 4 + 2 + 430 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388211779 + ... + 388781441.

It is an arithmetic number, because the mean of its divisors is an integer number (6309376295040).

Almost surely, 2221312144342430 is an apocalyptic number.

221312144342430 is an abundant number, since it is smaller than the sum of its proper divisors (384387979981410).

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

221312144342430 is a wasteful number, since it uses less digits than its factorization.

221312144342430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 796886 (or 796883 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 221312144342430 its reverse (34243441213122), we get a palindrome (255555585555552).

The spelling of 221312144342430 in words is "two hundred twenty-one trillion, three hundred twelve billion, one hundred forty-four million, three hundred forty-two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 30 38 45 57 90 95 114 171 190 285 342 570 855 1710 227191 454382 569663 681573 1135955 1139326 1363146 1708989 2044719 2271910 2848315 3407865 3417978 4089438 4316629 5126967 5696630 6815730 8544945 8633258 10223595 10253934 10823597 12949887 17089890 20447190 21583145 21647194 25634835 25899774 32470791 38849661 43166290 51269670 54117985 64749435 64941582 77699322 97412373 108235970 129498870 162353955 194248305 194824746 324707910 388496610 487061865 974123730 129422306633 258844613266 388266919899 647111533165 776533839798 1164800759697 1294223066330 1941334599495 2329601519394 2459023826027 3882669198990 4918047652054 5824003798485 7377071478081 11648007596970 12295119130135 14754142956162 22131214434243 24590238260270 36885357390405 44262428868486 73770714780810 110656072171215 221312144342430