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212100200221221 = 32131812822224113
BaseRepresentation
bin110000001110011101101101…
…000101110100101000100101
31000210222120200122002210111100
4300032131231011310220211
5210300022202224034341
62031033253054030313
762450506454214054
oct6016355505645045
91023876618083440
10212100200221221
116164420a647434
121b956533aa8399
139146c69ac20a0
143a539c10a239b
15197c32da993b6
hexc0e76d174a25

212100200221221 has 12 divisors (see below), whose sum is σ = 329933644788748. Its totient is φ = 130523200136064.

The previous prime is 212100200221193. The next prime is 212100200221271. The reversal of 212100200221221 is 122122002001212.

It is a happy number.

212100200221221 is a `hidden beast` number, since 2 + 1 + 21 + 0 + 0 + 200 + 221 + 221 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 124769212760196 + 87330987461025 = 11170014^2 + 9345105^2 .

It is not a de Polignac number, because 212100200221221 - 26 = 212100200221157 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 212100200221194 and 212100200221203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212100200221271) 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 11 ways as a sum of consecutive naturals, for example, 906411111940 + ... + 906411112173.

Almost surely, 2212100200221221 is an apocalyptic number.

It is an amenable number.

212100200221221 is a deficient number, since it is larger than the sum of its proper divisors (117833444567527).

212100200221221 is a wasteful number, since it uses less digits than its factorization.

212100200221221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1812822224132 (or 1812822224129 counting only the distinct ones).

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

Adding to 212100200221221 its reverse (122122002001212), we get a palindrome (334222202222433).

The spelling of 212100200221221 in words is "two hundred twelve trillion, one hundred billion, two hundred million, two hundred twenty-one thousand, two hundred twenty-one".

Divisors: 1 3 9 13 39 117 1812822224113 5438466672339 16315400017017 23566688913469 70700066740407 212100200221221