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212102211220002 = 23237693126414481
BaseRepresentation
bin110000001110011111100100…
…111101001011001000100010
31000210222202212210011010012200
4300032133210331023020202
5210300040312033020002
62031034224412434030
762450610343345215
oct6016374475131042
91023882783133180
10212102211220002
11616450518165a4
121b9569b5478916
1391471ca61a7ac
143a53b321c177c
15197c3ea3d0b1c
hexc0e7e4f4b222

212102211220002 has 24 divisors (see below), whose sum is σ = 459676721288460. Its totient is φ = 70681978563840.

The previous prime is 212102211219991. The next prime is 212102211220033. The reversal of 212102211220002 is 200022112201212.

It is a happy number.

212102211220002 is a `hidden beast` number, since 21 + 210 + 2 + 211 + 220 + 0 + 0 + 2 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 186334211884041 + 25767999335961 = 13650429^2 + 5076219^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 1563139399 + ... + 1563275082.

Almost surely, 2212102211220002 is an apocalyptic number.

212102211220002 is an abundant number, since it is smaller than the sum of its proper divisors (247574510068458).

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

212102211220002 is a wasteful number, since it uses less digits than its factorization.

212102211220002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3126418258 (or 3126418255 counting only the distinct ones).

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

Adding to 212102211220002 its reverse (200022112201212), we get a palindrome (412124323421214).

The spelling of 212102211220002 in words is "two hundred twelve trillion, one hundred two billion, two hundred eleven million, two hundred twenty thousand, two".

Divisors: 1 2 3 6 9 18 3769 7538 11307 22614 33921 67842 3126414481 6252828962 9379243443 18758486886 28137730329 56275460658 11783456178889 23566912357778 35350368536667 70700737073334 106051105610001 212102211220002