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20221313312021 is a prime number
BaseRepresentation
bin1001001100100001001000…
…01100100110010100010101
32122121010202002111121210212
410212100210030212110111
510122301222201441041
6111001313150255205
74154640665105543
oct446204414462425
978533662447725
1020221313312021
1164968a1217a98
122327038ab7505
13b38b280c6a33
144dca06c0cd93
152510094e58eb
hex126424326515

20221313312021 has 2 divisors, whose sum is σ = 20221313312022. Its totient is φ = 20221313312020.

The previous prime is 20221313311973. The next prime is 20221313312033. The reversal of 20221313312021 is 12021331312202.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19599754519921 + 621558792100 = 4427161^2 + 788390^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-20221313312021 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20221313312071) 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, 10110656656010 + 10110656656011.

It is an arithmetic number, because the mean of its divisors is an integer number (10110656656011).

Almost surely, 220221313312021 is an apocalyptic number.

It is an amenable number.

20221313312021 is a deficient number, since it is larger than the sum of its proper divisors (1).

20221313312021 is an equidigital number, since it uses as much as digits as its factorization.

20221313312021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 20221313312021 its reverse (12021331312202), we get a palindrome (32242644624223).

The spelling of 20221313312021 in words is "twenty trillion, two hundred twenty-one billion, three hundred thirteen million, three hundred twelve thousand, twenty-one".