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13220012021 is a prime number
BaseRepresentation
bin11000100111111100…
…10101111111110101
31021010022210012012212
430103332111333311
5204033310341041
610023450423205
7645414151046
oct142376257765
937108705185
1013220012021
115674396777
12268b431b05
131328b44a28
148d5a7a8cd
155259108eb
hex313f95ff5

13220012021 has 2 divisors, whose sum is σ = 13220012022. Its totient is φ = 13220012020.

The previous prime is 13220011991. The next prime is 13220012087. The reversal of 13220012021 is 12021002231.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9719988100 + 3500023921 = 98590^2 + 59161^2 .

It is a cyclic number.

It is not a de Polignac number, because 13220012021 - 230 = 12146270197 is a prime.

It is a super-3 number, since 3×132200120213 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 13220011987 and 13220012005.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (13220015021) 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, 6610006010 + 6610006011.

It is an arithmetic number, because the mean of its divisors is an integer number (6610006011).

Almost surely, 213220012021 is an apocalyptic number.

It is an amenable number.

13220012021 is a deficient number, since it is larger than the sum of its proper divisors (1).

13220012021 is an equidigital number, since it uses as much as digits as its factorization.

13220012021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 13220012021 its reverse (12021002231), we get a palindrome (25241014252).

The spelling of 13220012021 in words is "thirteen billion, two hundred twenty million, twelve thousand, twenty-one".