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2212102012122 = 232239351355853
BaseRepresentation
bin100000001100001011100…
…011011111110011011010
321211110211012012110010200
4200030023203133303122
5242220341103341442
64412120423123030
7315550643601162
oct40141343376332
97743735173120
102212102012122
11783168a098a2
122b88785a3476
131307a5bb4662
14790cdd455a2
153c81db2334c
hex2030b8dfcda

2212102012122 has 24 divisors (see below), whose sum is σ = 4794890664564. Its totient is φ = 737059187904.

The previous prime is 2212102012117. The next prime is 2212102012171.

It is a happy number.

2212102012122 is a `hidden beast` number, since 221 + 210 + 20 + 1 + 212 + 2 = 666.

2212102012122 is nontrivially palindromic in base 10.

2212102012122 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1964793727521 + 247308284601 = 1401711^2 + 497301^2 .

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 = 2212102012095 and 2212102012104.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 25634853 + ... + 25721000.

Almost surely, 22212102012122 is an apocalyptic number.

2212102012122 is an abundant number, since it is smaller than the sum of its proper divisors (2582788652442).

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

2212102012122 is a wasteful number, since it uses less digits than its factorization.

2212102012122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51358254 (or 51358251 counting only the distinct ones).

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

The spelling of 2212102012122 in words is "two trillion, two hundred twelve billion, one hundred two million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 2393 4786 7179 14358 21537 43074 51355853 102711706 154067559 308135118 462202677 924405354 122894556229 245789112458 368683668687 737367337374 1106051006061 2212102012122