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2002220120129 is a prime number
BaseRepresentation
bin11101001000101101100…
…111100111100001000001
321002102002011101122020112
4131020231213213201001
5230301021322321004
64131450205521105
7264440611133345
oct35105547474101
97072064348215
102002220120129
11702156072a09
12284063573195
13116a684bba18
146cc9d687625
1537137d70e6e
hex1d22d9e7841

2002220120129 has 2 divisors, whose sum is σ = 2002220120130. Its totient is φ = 2002220120128.

The previous prime is 2002220120071. The next prime is 2002220120177. The reversal of 2002220120129 is 9210210222002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1360582273600 + 641637846529 = 1166440^2 + 801023^2 .

It is a cyclic number.

It is not a de Polignac number, because 2002220120129 - 240 = 902708492353 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2002220120189) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1001110060064 + 1001110060065.

It is an arithmetic number, because the mean of its divisors is an integer number (1001110060065).

Almost surely, 22002220120129 is an apocalyptic number.

It is an amenable number.

2002220120129 is a deficient number, since it is larger than the sum of its proper divisors (1).

2002220120129 is an equidigital number, since it uses as much as digits as its factorization.

2002220120129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 576, while the sum is 23.

The spelling of 2002220120129 in words is "two trillion, two billion, two hundred twenty million, one hundred twenty thousand, one hundred twenty-nine".