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2002222000021 is a prime number
BaseRepresentation
bin11101001000101101101…
…110110010011110010101
321002102002021221010222011
4131020231232302132111
5230301022313000041
64131450314104221
7264440633123155
oct35105556623625
97072067833864
102002222000021
11702157137341
1228406411b071
13116a689c9599
146cc9da16765
15371380e2e81
hex1d22dbb2795

2002222000021 has 2 divisors, whose sum is σ = 2002222000022. Its totient is φ = 2002222000020.

The previous prime is 2002222000001. The next prime is 2002222000027. The reversal of 2002222000021 is 1200002222002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1181547260100 + 820674739921 = 1086990^2 + 905911^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002222000021 - 27 = 2002221999893 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2002221999965 and 2002222000010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2002222000027) by changing a digit.

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 as a sum of consecutive naturals, namely, 1001111000010 + 1001111000011.

It is an arithmetic number, because the mean of its divisors is an integer number (1001111000011).

Almost surely, 22002222000021 is an apocalyptic number.

It is an amenable number.

2002222000021 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002222000021 is an equidigital number, since it uses as much as digits as its factorization.

2002222000021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2002222000021 its reverse (1200002222002), we get a palindrome (3202224222023).

The spelling of 2002222000021 in words is "two trillion, two billion, two hundred twenty-two million, twenty-one", and thus it is an aban number.