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221141222141122 = 21997181431769057
BaseRepresentation
bin110010010010000001110011…
…111111011010110011000010
31001222222220010222220001220101
4302102001303333122303002
5212441134210332003442
62102154512554433014
764402632431440423
oct6222016377326302
91058886128801811
10221141222141122
116450a5138390a8
1220976797a3276a
1396516b267775a
143c87413d6b64a
151a875cd81dcb7
hexc92073fdacc2

221141222141122 has 64 divisors (see below), whose sum is σ = 355542527208960. Its totient is φ = 102859086643200.

The previous prime is 221141222141111. The next prime is 221141222141137.

221141222141122 is nontrivially palindromic in base 10.

221141222141122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 287164018 + ... + 287933074.

It is an arithmetic number, because the mean of its divisors is an integer number (5555351987640).

Almost surely, 2221141222141122 is an apocalyptic number.

221141222141122 is a deficient number, since it is larger than the sum of its proper divisors (134401305067838).

221141222141122 is a wasteful number, since it uses less digits than its factorization.

221141222141122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 769787.

The product of its digits is 2048, while the sum is 28.

The spelling of 221141222141122 in words is "two hundred twenty-one trillion, one hundred forty-one billion, two hundred twenty-two million, one hundred forty-one thousand, one hundred twenty-two".

Divisors: 1 2 19 38 97 181 194 362 431 862 1843 3439 3686 6878 8189 16378 17557 35114 41807 78011 83614 156022 333583 667166 769057 794333 1482209 1538114 1588666 2964418 7567067 14612083 15134134 29224166 74598529 139199317 143774273 149197058 278398634 287548546 331463567 662927134 1417372051 2644787023 2834744102 5289574046 6297807773 12595615546 13502333749 27004667498 32151965999 59994905627 64303931998 119989811254 256544341231 513088682462 610887353981 1139903206913 1221774707962 2279806413826 5819505845819 11639011691638 110570611070561 221141222141122