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221213322110022 = 2311371092633159973
BaseRepresentation
bin110010010011000100111101…
…011110111110010001000110
31002000020210020202200222112220
4302103010331132332101012
5212443324340430010042
62102251555223153210
764411064225164404
oct6223047536762106
91060223222628486
10221213322110022
1164538052347960
1220988759ba5806
139658432b9ba48
143c8aad3822474
151a893ed48c8ec
hexc9313d7be446

221213322110022 has 128 divisors (see below), whose sum is σ = 502141609221120. Its totient is φ = 64378488752640.

The previous prime is 221213322109999. The next prime is 221213322110041. The reversal of 221213322110022 is 220011223312122.

It is a junction number, because it is equal to n+sod(n) for n = 221213322109974 and 221213322110001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68424828 + ... + 71584800.

It is an arithmetic number, because the mean of its divisors is an integer number (3922981322040).

Almost surely, 2221213322110022 is an apocalyptic number.

221213322110022 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 221213322110022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251070804610560).

221213322110022 is an abundant number, since it is smaller than the sum of its proper divisors (280928287111098).

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

221213322110022 is a wasteful number, since it uses less digits than its factorization.

221213322110022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3160398.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221213322110022 its reverse (220011223312122), we get a palindrome (441224545422144).

The spelling of 221213322110022 in words is "two hundred twenty-one trillion, two hundred thirteen billion, three hundred twenty-two million, one hundred ten thousand, twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 109 111 218 222 263 327 407 526 654 789 814 1199 1221 1578 2398 2442 2893 3597 4033 5786 7194 8066 8679 9731 12099 17358 19462 24198 28667 29193 44363 57334 58386 86001 88726 107041 133089 172002 214082 266178 315337 321123 630674 642246 946011 1060679 1892022 2121358 3159973 3182037 6319946 6364074 9479919 11667469 18959838 23334938 34759703 35002407 69519406 70004814 104279109 116919001 208558218 233838002 344437057 350757003 688874114 701514006 831072899 1033311171 1286109011 1662145798 2066622342 2493218697 2572218022 3788807627 3858327033 4986437394 7577615254 7716654066 9141801889 11366422881 12744171109 18283603778 22732845762 25488342218 27425405667 30749697263 38232513327 54850811334 61499394526 76465026654 90586945991 92249091789 140185882199 181173891982 184498183578 271760837973 280371764398 338246669893 420557646597 543521675946 676493339786 841115293194 996456405901 1014740009679 1992912811802 2029480019358 2989369217703 3351717001667 5978738435406 6703434003334 10055151005001 20110302010002 36868887018337 73737774036674 110606661055011 221213322110022