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212021122100022 = 232175231324817369
BaseRepresentation
bin110000001101010100000011…
…101010101110101100110110
31000210201000120112200000110200
4300031110003222232230312
5210242223224224200042
62030533054151301330
762442010025243544
oct6015240352565466
91023630515600420
10212021122100022
1161613720056564
121b94314497a846
13913c6769742b1
143a4dc3c93ad94
15197a2514c9c4c
hexc0d503aaeb36

212021122100022 has 48 divisors (see below), whose sum is σ = 487331419919760. Its totient is φ = 66389247945216.

The previous prime is 212021122100003. The next prime is 212021122100083. The reversal of 212021122100022 is 220001221120212.

It is a happy number.

212021122100022 is a `hidden beast` number, since 212 + 0 + 211 + 221 + 0 + 0 + 0 + 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 = 212021122099968 and 212021122100004.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 662248647 + ... + 662568722.

It is an arithmetic number, because the mean of its divisors is an integer number (10152737914995).

Almost surely, 2212021122100022 is an apocalyptic number.

212021122100022 is an abundant number, since it is smaller than the sum of its proper divisors (275310297819738).

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

212021122100022 is a wasteful number, since it uses less digits than its factorization.

212021122100022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1324817917 (or 1324817914 counting only the distinct ones).

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

Adding to 212021122100022 its reverse (220001221120212), we get a palindrome (432022343220234).

The spelling of 212021122100022 in words is "two hundred twelve trillion, twenty-one billion, one hundred twenty-two million, one hundred thousand, twenty-two".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 523 1046 1569 3138 4707 8891 9414 17782 26673 53346 80019 160038 1324817369 2649634738 3974452107 7948904214 11923356321 22521895273 23846712642 45043790546 67565685819 135131371638 202697057457 405394114914 692879483987 1385758967974 2078638451961 4157276903922 6235915355883 11778951227779 12471830711766 23557902455558 35336853683337 70673707366674 106010561050011 212021122100022