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222112210101122 = 211313072131497813
BaseRepresentation
bin110010100000001010000111…
…011000100010001110000010
31002010102201102211001011100102
4302200022013120202032002
5213103041301241213442
62104220535104322402
764533035424064445
oct6240120730421602
91063381384034312
10222112210101122
116485429416aa30
1220ab2a01913402
1396c2126161103
143cbc40726165c
151aa29ad060232
hexca0287622382

222112210101122 has 64 divisors (see below), whose sum is σ = 376580217581568. Its totient is φ = 97339171608000.

The previous prime is 222112210101121. The next prime is 222112210101151. The reversal of 222112210101122 is 221101012211222.

It is a junction number, because it is equal to n+sod(n) for n = 222112210101094 and 222112210101103.

It is not an unprimeable number, because it can be changed into a prime (222112210101121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 445927088 + ... + 446424900.

It is an arithmetic number, because the mean of its divisors is an integer number (5884065899712).

Almost surely, 2222112210101122 is an apocalyptic number.

222112210101122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222112210101122 is a deficient number, since it is larger than the sum of its proper divisors (154468007480446).

222112210101122 is a wasteful number, since it uses less digits than its factorization.

222112210101122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500295.

The product of its (nonzero) digits is 128, while the sum is 20.

Adding to 222112210101122 its reverse (221101012211222), we get a palindrome (443213222312344).

The spelling of 222112210101122 in words is "two hundred twenty-two trillion, one hundred twelve billion, two hundred ten million, one hundred one thousand, one hundred twenty-two".

Divisors: 1 2 11 22 31 62 307 341 614 682 2131 3377 4262 6754 9517 19034 23441 46882 66061 104687 132122 209374 497813 654217 726671 995626 1308434 1453342 5475943 7196387 10951886 14392774 15432203 20280727 30864406 40561454 152828591 169754233 223087997 305657182 339508466 446175994 1060839503 1681114501 2121679006 3362229002 4737686321 9475372642 11669234533 23338469066 32886024593 52114549531 65772049186 104229099062 325677727421 361746270523 651355454842 723492541046 3582455001631 7164910003262 10096009550051 20192019100102 111056105050561 222112210101122