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2122202220029 is a prime number
BaseRepresentation
bin11110111000011101000…
…111000000010111111101
321111212202220212211102022
4132320131013000113331
5234232232232020104
64302532022405525
7306216102144023
oct36703507002775
97455686784368
102122202220029
11749025911461
122a33692908a5
13125179a796c8
1474a02490713
153a30b48cbbe
hex1ee1d1c05fd

2122202220029 has 2 divisors, whose sum is σ = 2122202220030. Its totient is φ = 2122202220028.

The previous prime is 2122202220011. The next prime is 2122202220031. The reversal of 2122202220029 is 9200222022212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1935988394404 + 186213825625 = 1391398^2 + 431525^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2122202220029 is a prime.

It is a super-2 number, since 2×21222022200292 (a number of 25 digits) contains 22 as substring.

Together with 2122202220031, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2122202220329) 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, 1061101110014 + 1061101110015.

It is an arithmetic number, because the mean of its divisors is an integer number (1061101110015).

Almost surely, 22122202220029 is an apocalyptic number.

It is an amenable number.

2122202220029 is a deficient number, since it is larger than the sum of its proper divisors (1).

2122202220029 is an equidigital number, since it uses as much as digits as its factorization.

2122202220029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 26.

The spelling of 2122202220029 in words is "two trillion, one hundred twenty-two billion, two hundred two million, two hundred twenty thousand, twenty-nine".