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222113102200119 = 34131731400253549
BaseRepresentation
bin110010100000001010111100…
…100011100111110100110111
31002010102210201222200111010000
4302200022330203213310313
5213103100113130400434
62104221203413202343
764533066505565244
oct6240127443476467
91063383658614100
10222113102200119
1164854701796129
1220ab30106303b3
1396c2238c1c440
143cbc48d9225cb
151aa2a1152ab99
hexca02bc8e7d37

222113102200119 has 80 divisors (see below), whose sum is σ = 390544999891200. Its totient is φ = 124494863569920.

The previous prime is 222113102200109. The next prime is 222113102200139. The reversal of 222113102200119 is 911002201311222.

222113102200119 is a `hidden beast` number, since 2 + 2 + 2 + 11 + 310 + 220 + 0 + 119 = 666.

It is not a de Polignac number, because 222113102200119 - 29 = 222113102199607 is a prime.

It is a super-3 number, since 3×2221131022001193 (a number of 44 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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

It is a junction number, because it is equal to n+sod(n) for n = 222113102200092 and 222113102200101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222113102200109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 199571844 + ... + 200681705.

It is an arithmetic number, because the mean of its divisors is an integer number (4881812498640).

Almost surely, 2222113102200119 is an apocalyptic number.

222113102200119 is a deficient number, since it is larger than the sum of its proper divisors (168431897691081).

222113102200119 is a wasteful number, since it uses less digits than its factorization.

222113102200119 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400253622 (or 400253613 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 222113102200119 in words is "two hundred twenty-two trillion, one hundred thirteen billion, one hundred two million, two hundred thousand, one hundred nineteen".

Divisors: 1 3 9 13 17 27 31 39 51 81 93 117 153 221 279 351 403 459 527 663 837 1053 1209 1377 1581 1989 2511 3627 4743 5967 6851 10881 14229 17901 20553 32643 42687 61659 184977 554931 400253549 1200760647 3602281941 5203296137 6804310333 10806845823 12407860019 15609888411 20412930999 32420537469 37223580057 46829665233 61238792997 88456034329 111670740171 140488995699 161302180247 183716378991 210933620323 265368102987 335012220513 421466987097 483906540741 551149136973 632800860969 796104308961 1005036661539 1451719622223 1898402582907 2388312926883 2742137064199 4355158866669 5695207748721 7164938780649 8226411192597 13065476600007 17085623246163 24679233577791 74037700733373 222113102200119