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222001222122100 = 22522220012221221
BaseRepresentation
bin110010011110100010101111…
…111110111111101001110100
31002010001002221212120122112201
4302132202233332333221310
5213044232000330401400
62104053541542554244
764522026144610621
oct6236425776775164
91063032855518481
10222001222122100
116481120a367633
1220a953a8138984
1396b4819075745
143cb6cb8b7d348
151a9eb6435d06a
hexc9e8affbfa74

222001222122100 has 18 divisors (see below), whose sum is σ = 481742652005174. Its totient is φ = 88800488848800.

The previous prime is 222001222122049. The next prime is 222001222122103. The reversal of 222001222122100 is 1221222100222.

It can be written as a sum of positive squares in 3 ways, for example, as 2628924988816 + 219372297133284 = 1621396^2 + 14811222^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222001222122103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1110006110511 + ... + 1110006110710.

Almost surely, 2222001222122100 is an apocalyptic number.

222001222122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222001222122100 is an abundant number, since it is smaller than the sum of its proper divisors (259741429883074).

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

222001222122100 is a wasteful number, since it uses less digits than its factorization.

222001222122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2220012221235 (or 2220012221228 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 222001222122100 its reverse (1221222100222), we get a palindrome (223222444222322).

The spelling of 222001222122100 in words is "two hundred twenty-two trillion, one billion, two hundred twenty-two million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 2220012221221 4440024442442 8880048884884 11100061106105 22200122212210 44400244424420 55500305530525 111000611061050 222001222122100