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122221020001113 = 3211311031933200023
BaseRepresentation
bin11011110010100011001100…
…011110110011001101011001
3121000202012211000202021010200
4123302203030132303031121
5112004432122110013423
61111535321135332413
734513114545536265
oct3362431436631531
9530665730667120
10122221020001113
1135a4170954a140
121185b304381109
135327514aa8a97
14222775955d0a5
15e1e3b1155d43
hex6f28cc7b3359

122221020001113 has 96 divisors (see below), whose sum is σ = 200838280101888. Its totient is φ = 70950843734400.

The previous prime is 122221020001099. The next prime is 122221020001121. The reversal of 122221020001113 is 311100020122221.

It is not a de Polignac number, because 122221020001113 - 212 = 122221019997017 is a prime.

It is a super-2 number, since 2×1222210200011132 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (122221020001163) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 610934820 + ... + 611134842.

It is an arithmetic number, because the mean of its divisors is an integer number (2092065417728).

Almost surely, 2122221020001113 is an apocalyptic number.

It is an amenable number.

122221020001113 is a deficient number, since it is larger than the sum of its proper divisors (78617260100775).

122221020001113 is a wasteful number, since it uses less digits than its factorization.

122221020001113 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202107 (or 202104 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 122221020001113 its reverse (311100020122221), we get a palindrome (433321040123334).

The spelling of 122221020001113 in words is "one hundred twenty-two trillion, two hundred twenty-one billion, twenty million, one thousand, one hundred thirteen".

Divisors: 1 3 9 11 31 33 93 99 103 279 309 341 927 1023 1133 1933 3069 3193 3399 5799 9579 10197 17397 21263 28737 35123 59923 63789 105369 179769 191367 199099 200023 316107 539307 597297 600069 659153 1791891 1800207 1977459 2190089 2200253 5932377 6172069 6200713 6570267 6600759 18516207 18602139 19710801 19802277 20602369 55548621 55806417 61807107 67892759 68207843 185421321 203678277 204623529 226626059 386644459 611034831 613870587 638673439 679878177 1159933377 1916020317 2039634531 3479800131 4253089049 5748060951 7025407829 11985978229 12759267147 21076223487 35957934687 38277801441 39824379277 63228670461 107873804061 119473137831 131845760519 358419413493 395537281557 438068172047 1186611844671 1234555757587 1314204516141 3703667272761 3942613548423 11111001818283 13580113333457 40740340000371 122221020001113