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20222200121993 is a prime number
BaseRepresentation
bin1001001100100010110010…
…00011100000101010001001
32122121020000220012020101122
410212101121003200222021
510122310031212400433
6111001541145525025
74155001653630422
oct446213103405211
978536026166348
1020222200121993
1164972068604a1
122327245aa3775
13b38c39a5286c
144dca8c8d4649
1525105c2b9198
hex1264590e0a89

20222200121993 has 2 divisors, whose sum is σ = 20222200121994. Its totient is φ = 20222200121992.

The previous prime is 20222200121987. The next prime is 20222200122017. The reversal of 20222200121993 is 39912100222202.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18295397945344 + 1926802176649 = 4277312^2 + 1388093^2 .

It is a cyclic number.

It is not a de Polignac number, because 20222200121993 - 212 = 20222200117897 is a prime.

It is not a weakly prime, because it can be changed into another prime (20222200421993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10111100060996 + 10111100060997.

It is an arithmetic number, because the mean of its divisors is an integer number (10111100060997).

Almost surely, 220222200121993 is an apocalyptic number.

It is an amenable number.

20222200121993 is a deficient number, since it is larger than the sum of its proper divisors (1).

20222200121993 is an equidigital number, since it uses as much as digits as its factorization.

20222200121993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 35.

The spelling of 20222200121993 in words is "twenty trillion, two hundred twenty-two billion, two hundred million, one hundred twenty-one thousand, nine hundred ninety-three".