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2002122122120 = 23573685658261
BaseRepresentation
bin11101001000100111110…
…001110010001110001000
321002101211022222211020122
4131020213301302032020
5230300321230401440
64131432345242412
7264435311150021
oct35104761621610
97071738884218
102002122122120
1170210581961a
12284036793408
13116a510c9533
146cc90657c48
153712e4647b5
hex1d227c72388

2002122122120 has 32 divisors (see below), whose sum is σ = 4566484024920. Its totient is φ = 789878315520.

The previous prime is 2002122122107. The next prime is 2002122122149. The reversal of 2002122122120 is 212212212002.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1770235572004 + 231886550116 = 1330502^2 + 481546^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 342826211 + ... + 342832050.

Almost surely, 22002122122120 is an apocalyptic number.

2002122122120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2002122122120 is an abundant number, since it is smaller than the sum of its proper divisors (2564361902800).

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

2002122122120 is a wasteful number, since it uses less digits than its factorization.

2002122122120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 685658345 (or 685658341 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2002122122120 its reverse (212212212002), we get a palindrome (2214334334122).

The spelling of 2002122122120 in words is "two trillion, two billion, one hundred twenty-two million, one hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 73 146 292 365 584 730 1460 2920 685658261 1371316522 2742633044 3428291305 5485266088 6856582610 13713165220 27426330440 50053053053 100106106106 200212212212 250265265265 400424424424 500530530530 1001061061060 2002122122120