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222200100200001 = 3731147417674857
BaseRepresentation
bin110010100001011011111110…
…000010101001111001000001
31002010202010022000202210020210
4302201123332002221321001
5213111011301122400001
62104325152234224333
764542266423436000
oct6241337602517101
91063663260683223
10222200100200001
1164888595900090
1220b07a4bb850a9
1396ca4c1b09991
143cc2783c56c37
151aa4e0406add6
hexca16fe0a9e41

222200100200001 has 64 divisors (see below), whose sum is σ = 384929149132800. Its totient is φ = 112972695050880.

The previous prime is 222200100199949. The next prime is 222200100200009. The reversal of 222200100200001 is 100002001002222.

It is not a de Polignac number, because 222200100200001 - 223 = 222200091811393 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 222200100200001.

It is not an unprimeable number, because it can be changed into a prime (222200100200009) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 208305436 + ... + 209369421.

It is an arithmetic number, because the mean of its divisors is an integer number (6014517955200).

Almost surely, 2222200100200001 is an apocalyptic number.

222200100200001 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

222200100200001 is a deficient number, since it is larger than the sum of its proper divisors (162729048932799).

222200100200001 is a wasteful number, since it uses less digits than its factorization.

222200100200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 417674939 (or 417674925 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 222200100200001 its reverse (100002001002222), we get a palindrome (322202101202223).

The spelling of 222200100200001 in words is "two hundred twenty-two trillion, two hundred billion, one hundred million, two hundred thousand, one".

Divisors: 1 3 7 11 21 33 47 49 77 141 147 231 329 343 517 539 987 1029 1551 1617 2303 3619 3773 6909 10857 11319 16121 25333 48363 75999 177331 531993 417674857 1253024571 2923723999 4594423427 8771171997 13783270281 19630718279 20466067993 32160963989 58892154837 61398203979 96482891967 137415027953 143262475951 215937901069 225126747923 412245083859 429787427853 647813703207 675380243769 961905195671 1511565307483 1575887235461 2885715587013 4534695922449 4727661706383 6733336369697 10580957152381 20200009109091 31742871457143 74066700066667 222200100200001