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221423222324122 = 271329101752355213
BaseRepresentation
bin110010010110001000011100…
…100000101111101110011010
31002000222212001001222122122121
4302112020130200233232122
5213010244224403332442
62102532231333211454
764432204602442360
oct6226103440575632
91060885031878577
10221423222324122
1164609074568485
1220a01379190b8a
13967217430b170
143c96d266cd630
151a8ead5b5d967
hexc9621c82fb9a

221423222324122 has 128 divisors (see below), whose sum is σ = 427128648629760. Its totient is φ = 83725420262400.

The previous prime is 221423222324119. The next prime is 221423222324141.

221423222324122 is nontrivially palindromic in base 10.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 4010318188 + ... + 4010373400.

It is an arithmetic number, because the mean of its divisors is an integer number (3336942567420).

Almost surely, 2221423222324122 is an apocalyptic number.

221423222324122 is a deficient number, since it is larger than the sum of its proper divisors (205705426305638).

221423222324122 is a wasteful number, since it uses less digits than its factorization.

221423222324122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62888.

The product of its digits is 73728, while the sum is 34.

The spelling of 221423222324122 in words is "two hundred twenty-one trillion, four hundred twenty-three billion, two hundred twenty-two million, three hundred twenty-four thousand, one hundred twenty-two".

Divisors: 1 2 7 13 14 26 29 58 91 101 182 202 203 377 406 707 754 1313 1414 2626 2639 2929 5278 5858 7523 9191 15046 18382 20503 38077 41006 52661 55213 76154 97799 105322 110426 195598 218167 266539 386491 436334 533078 684593 717769 759823 772982 1369186 1435538 1519646 1527169 1601177 2836171 3054338 3202354 5024383 5318761 5576513 5672342 9877699 10048766 10637522 11153026 11208239 19755398 19853197 20815301 22034867 22416478 39035591 39706394 41630602 44069734 69143893 72494669 78071182 138287786 144989338 145707107 154244069 161718877 286453271 291414214 308488138 323437754 415367399 507462683 572906542 830734798 1014925366 1132032139 2005172897 2102345401 2264064278 2907571793 4010345794 4204690802 5399776187 5815143586 10799552374 12045654571 14716417807 24091309142 29432835614 37798433309 41952107299 75596866618 83904214598 84319581997 156593509423 168639163994 293664751093 313187018846 545377394887 587329502186 1090754789774 1096154565961 1216611111671 2192309131922 2433222223342 3817641764209 7635283528418 8516277781697 15815944451723 17032555563394 31631888903446 110711611162061 221423222324122