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221220012010122 = 232102804711954707
BaseRepresentation
bin110010010011001011001100…
…001110111010101010001010
31002000021102111222221010020200
4302103023030032322222022
5212443432041033310442
62102255023123033030
764411422060330336
oct6223131416725212
91060242458833220
10221220012010122
116453a975649914
1220989b0650b776
139658c5ab7ba08
143c8b16a0da7c6
151a8969095034c
hexc932cc3baa8a

221220012010122 has 24 divisors (see below), whose sum is σ = 479310532349376. Its totient is φ = 73739926106856.

The previous prime is 221220012010117. The next prime is 221220012010159. The reversal of 221220012010122 is 221010210022122.

It is a happy number.

221220012010122 is a `hidden beast` number, since 2 + 212 + 200 + 120 + 10 + 122 = 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 = 221220012010095 and 221220012010104.

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 11 ways as a sum of consecutive naturals, for example, 12527493 + ... + 24482199.

It is an arithmetic number, because the mean of its divisors is an integer number (19971272181224).

Almost surely, 2221220012010122 is an apocalyptic number.

221220012010122 is an abundant number, since it is smaller than the sum of its proper divisors (258090520339254).

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

221220012010122 is a wasteful number, since it uses less digits than its factorization.

221220012010122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12982762 (or 12982759 counting only the distinct ones).

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

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

The spelling of 221220012010122 in words is "two hundred twenty-one trillion, two hundred twenty billion, twelve million, ten thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 1028047 2056094 3084141 6168282 9252423 11954707 18504846 23909414 35864121 71728242 107592363 215184726 12290000667229 24580001334458 36870002001687 73740004003374 110610006005061 221220012010122