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221220100111122 = 23273736177628867
BaseRepresentation
bin110010010011001011010001…
…011110111111101100010010
31002000021102202010201010002200
4302103023101132333230102
5212443432231112023442
62102255035551224030
764411424210223510
oct6223132136775422
91060242663633080
10221220100111122
116453aa10353462
1220989b2bb18016
139658c731b7498
143c8b177ab14b0
151a8969855434c
hexc932d17bfb12

221220100111122 has 96 divisors (see below), whose sum is σ = 550141961795712. Its totient is φ = 62934116458752.

The previous prime is 221220100111111. The next prime is 221220100111141. The reversal of 221220100111122 is 221111001022122.

221220100111122 is a `hidden beast` number, since 221 + 220 + 100 + 1 + 1 + 1 + 122 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 221220100111095 and 221220100111104.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25183333 + ... + 32812199.

It is an arithmetic number, because the mean of its divisors is an integer number (5730645435372).

Almost surely, 2221220100111122 is an apocalyptic number.

221220100111122 is an abundant number, since it is smaller than the sum of its proper divisors (328921861684590).

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

221220100111122 is a wasteful number, since it uses less digits than its factorization.

221220100111122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7629872 (or 7629869 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 221220100111122 its reverse (221111001022122), we get a palindrome (442331101133244).

The spelling of 221220100111122 in words is "two hundred twenty-one trillion, two hundred twenty billion, one hundred million, one hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 373 617 746 1119 1234 1851 2238 2611 3357 3702 4319 5222 5553 6714 7833 8638 11106 12957 15666 23499 25914 38871 46998 77742 230141 460282 690423 1380846 1610987 2071269 3221974 4142538 4832961 7628867 9665922 14498883 15257734 22886601 28997766 45773202 53402069 68659803 106804138 137319606 160206207 320412414 480618621 961237242 2845567391 4707010939 5691134782 8536702173 9414021878 14121032817 17073404346 19918971737 25610106519 28242065634 32949076573 39837943474 42363098451 51220213038 59756915211 65898153146 84726196902 98847229719 119513830422 179270745633 197694459438 296541689157 358541491266 593083378314 1755715080247 3511430160494 5267145240741 10534290481482 12290005561729 15801435722223 24580011123458 31602871444446 36870016685187 73740033370374 110610050055561 221220100111122