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221010210022122 = 232333114629251971
BaseRepresentation
bin110010010000000111110011…
…000011110110001011101010
31001222112100222112110212000200
4302100013303003312023222
5212432012402231201442
62102014404442213030
764360314015006003
oct6220076303661352
91058470875425020
10221010210022122
11644699a3918a94
12209553141b4176
139642233bb1851
143c80d462bc1aa
151a83eb1bd334c
hexc901f30f62ea

221010210022122 has 48 divisors (see below), whose sum is σ = 479033856581280. Its totient is φ = 73642626856800.

The previous prime is 221010210022111. The next prime is 221010210022123. The reversal of 221010210022122 is 221220012010122.

It is a happy number.

221010210022122 is a `hidden beast` number, since 2 + 210 + 1 + 0 + 210 + 0 + 221 + 22 = 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 = 221010210022095 and 221010210022104.

It is not an unprimeable number, because it can be changed into a prime (221010210022123) 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 23 ways as a sum of consecutive naturals, for example, 876999597 + ... + 877251567.

It is an arithmetic number, because the mean of its divisors is an integer number (9979872012110).

Almost surely, 2221010210022122 is an apocalyptic number.

221010210022122 is an abundant number, since it is smaller than the sum of its proper divisors (258023646559158).

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

221010210022122 is a wasteful number, since it uses less digits than its factorization.

221010210022122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 269939 (or 269936 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 221010210022122 its reverse (221220012010122), we get a palindrome (442230222032244).

The spelling of 221010210022122 in words is "two hundred twenty-one trillion, ten billion, two hundred ten million, twenty-two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 3331 6662 9993 14629 19986 29258 29979 43887 59958 87774 131661 251971 263322 503942 755913 1511826 2267739 4535478 48729199 97458398 146187597 292375194 438562791 839315401 877125582 1678630802 2517946203 3686083759 5035892406 7372167518 7553838609 11058251277 15107677218 22116502554 33174753831 66349507662 12278345001229 24556690002458 36835035003687 73670070007374 110505105011061 221010210022122