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222221010101120 = 2751681120654353
BaseRepresentation
bin110010100001101111011100…
…010111100110001110000000
31002010211010021021102211011222
4302201233130113212032000
5213111332112041213440
62104342531150054212
764543636534606562
oct6241573427461600
91063733237384158
10222221010101120
1164896445a042a8
1220b0bb067aa368
1396cc474b66834
143cc37a8d15332
151aa5729b1c2b5
hexca1bdc5e6380

222221010101120 has 64 divisors (see below), whose sum is σ = 531278729155440. Its totient is φ = 88883112222720.

The previous prime is 222221010101113. The next prime is 222221010101191. The reversal of 222221010101120 is 21101010122222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 431864 + ... + 21086216.

Almost surely, 2222221010101120 is an apocalyptic number.

222221010101120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222221010101120 is an abundant number, since it is smaller than the sum of its proper divisors (309057719054320).

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

222221010101120 is a wasteful number, since it uses less digits than its factorization.

222221010101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20671183 (or 20671171 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 222221010101120 its reverse (21101010122222), we get a palindrome (243322020223342).

The spelling of 222221010101120 in words is "two hundred twenty-two trillion, two hundred twenty-one billion, ten million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 16811 33622 67244 84055 134488 168110 268976 336220 537952 672440 1075904 1344880 2151808 2689760 5379520 10759040 20654353 41308706 82617412 103271765 165234824 206543530 330469648 413087060 660939296 826174120 1321878592 1652348240 2643757184 3304696480 6609392960 13218785920 347220328283 694440656566 1388881313132 1736101641415 2777762626264 3472203282830 5555525252528 6944406565660 11111050505056 13888813131320 22222101010112 27777626262640 44444202020224 55555252525280 111110505050560 222221010101120