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10022120121193 is a prime number
BaseRepresentation
bin1001000111010111010011…
…1010001110001101101001
31022111002211210010211121021
42101311310322032031221
52303200300222334233
633152033132012441
72053034323310455
oct221656472161551
938432753124537
1010022120121193
1132143a2594514
12115a42b901121
1357910ab4762b
14269104c1b665
15125a71d9ce2d
hex91d74e8e369

10022120121193 has 2 divisors, whose sum is σ = 10022120121194. Its totient is φ = 10022120121192.

The previous prime is 10022120121149. The next prime is 10022120121241. The reversal of 10022120121193 is 39112102122001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9823385155984 + 198734965209 = 3134228^2 + 445797^2 .

It is a cyclic number.

It is not a de Polignac number, because 10022120121193 - 213 = 10022120113001 is a prime.

It is not a weakly prime, because it can be changed into another prime (10022120121133) 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, 5011060060596 + 5011060060597.

It is an arithmetic number, because the mean of its divisors is an integer number (5011060060597).

Almost surely, 210022120121193 is an apocalyptic number.

It is an amenable number.

10022120121193 is a deficient number, since it is larger than the sum of its proper divisors (1).

10022120121193 is an equidigital number, since it uses as much as digits as its factorization.

10022120121193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 25.

Adding to 10022120121193 its reverse (39112102122001), we get a palindrome (49134222243194).

The spelling of 10022120121193 in words is "ten trillion, twenty-two billion, one hundred twenty million, one hundred twenty-one thousand, one hundred ninety-three".