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2002221211122 = 2321110112228339
BaseRepresentation
bin11101001000101101101…
…011110001110111110010
321002102002020110001210200
4131020231223301313302
5230301022112223442
64131450245140030
7264440623326156
oct35105553616762
97072066401720
102002221211122
11702156748660
122840639ba616
13116a687b1492
146cc9d88d066
1537137ed934c
hex1d22daf1df2

2002221211122 has 24 divisors (see below), whose sum is σ = 4732522863120. Its totient is φ = 606733700280.

The previous prime is 2002221211121. The next prime is 2002221211139. The reversal of 2002221211122 is 2211121222002.

It is a happy number.

2002221211122 is a `hidden beast` number, since 200 + 222 + 121 + 1 + 122 = 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 = 2002221211095 and 2002221211104.

It is not an unprimeable number, because it can be changed into a prime (2002221211121) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5056113972 + ... + 5056114367.

It is an arithmetic number, because the mean of its divisors is an integer number (197188452630).

Almost surely, 22002221211122 is an apocalyptic number.

2002221211122 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

2002221211122 is an abundant number, since it is smaller than the sum of its proper divisors (2730301651998).

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

2002221211122 is a wasteful number, since it uses less digits than its factorization.

2002221211122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10112228358 (or 10112228355 counting only the distinct ones).

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

Adding to 2002221211122 its reverse (2211121222002), we get a palindrome (4213342433124).

It can be divided in two parts, 200222 and 1211122, that added together give a square (1411344 = 11882).

The spelling of 2002221211122 in words is "two trillion, two billion, two hundred twenty-one million, two hundred eleven thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 198 10112228339 20224456678 30336685017 60673370034 91010055051 111234511729 182020110102 222469023458 333703535187 667407070374 1001110605561 2002221211122