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2022120827929 is a prime number
BaseRepresentation
bin11101011011001111110…
…010110010110000011001
321011022110002002100012101
4131123033302302300121
5231112300412443204
64144541031043401
7266044016303536
oct35331762626031
97138402070171
102022120827929
1170a638544264
12287a98210561
131188ba440077
146dc2a6c3d8d
1537900026ea4
hex1d6cfcb2c19

2022120827929 has 2 divisors, whose sum is σ = 2022120827930. Its totient is φ = 2022120827928.

The previous prime is 2022120827897. The next prime is 2022120828001. The reversal of 2022120827929 is 9297280212202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1154937102400 + 867183725529 = 1074680^2 + 931227^2 .

It is a cyclic number.

It is not a de Polignac number, because 2022120827929 - 25 = 2022120827897 is a prime.

It is not a weakly prime, because it can be changed into another prime (2022120827029) 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, 1011060413964 + 1011060413965.

It is an arithmetic number, because the mean of its divisors is an integer number (1011060413965).

Almost surely, 22022120827929 is an apocalyptic number.

It is an amenable number.

2022120827929 is a deficient number, since it is larger than the sum of its proper divisors (1).

2022120827929 is an equidigital number, since it uses as much as digits as its factorization.

2022120827929 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 2022120827929 in words is "two trillion, twenty-two billion, one hundred twenty million, eight hundred twenty-seven thousand, nine hundred twenty-nine".