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222002120010112 = 27131278211279549
BaseRepresentation
bin110010011110100011100101…
…100000001010100110000000
31002010001012021110010002100021
4302132203211200022212000
5213044240320210310422
62104054211015503224
764522060326542131
oct6236434540124600
91063035243102307
10222002120010112
1164811630187142
1220a955b8987b14
1396b49300aca20
143cb6d62109c88
151a9ebb80bddc7
hexc9e8e580a980

222002120010112 has 128 divisors (see below), whose sum is σ = 480626004096000. Its totient is φ = 101531826708480.

The previous prime is 222002120010061. The next prime is 222002120010233. The reversal of 222002120010112 is 211010021200222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 172860514 + ... + 174140062.

It is an arithmetic number, because the mean of its divisors is an integer number (3754890657000).

Almost surely, 2222002120010112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222002120010112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240313002048000).

222002120010112 is an abundant number, since it is smaller than the sum of its proper divisors (258623884085888).

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

222002120010112 is a wasteful number, since it uses less digits than its factorization.

222002120010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1280524 (or 1280512 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 222002120010112 its reverse (211010021200222), we get a palindrome (433012141210334).

The spelling of 222002120010112 in words is "two hundred twenty-two trillion, two billion, one hundred twenty million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 127 128 208 254 416 508 821 832 1016 1642 1651 1664 2032 3284 3302 4064 6568 6604 8128 10673 13136 13208 16256 21346 26272 26416 42692 52544 52832 85384 104267 105088 105664 170768 208534 211328 341536 417068 683072 834136 1279549 1355471 1366144 1668272 2559098 2710942 3336544 5118196 5421884 6673088 10236392 10843768 13346176 16634137 20472784 21687536 33268274 40945568 43375072 66536548 81891136 86750144 133073096 162502723 163782272 173500288 266146192 325005446 532292384 650010892 1050509729 1064584768 1300021784 2101019458 2112535399 2129169536 2600043568 4202038916 4225070798 5200087136 8404077832 8450141596 10400174272 13656626477 16808155664 16900283192 20800348544 27313252954 33616311328 33800566384 54626505908 67232622656 67601132768 109253011816 133414735583 134465245312 135202265536 218506023632 266829471166 270404531072 437012047264 533658942332 874024094528 1067317884664 1734391562579 1748048189056 2134635769328 3468783125158 4269271538656 6937566250316 8538543077312 13875132500632 17077086154624 27750265001264 55500530002528 111001060005056 222002120010112