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22020300013 is a prime number
BaseRepresentation
bin10100100000100000…
…110001110011101101
32002211122002010212011
4110200200301303231
5330044144100023
614041015241221
71406453314255
oct244040616355
962748063764
1022020300013
11937a981358
124326679211
1320cc10bb2a
1410cc746965
1588d2dd50d
hex520831ced

22020300013 has 2 divisors, whose sum is σ = 22020300014. Its totient is φ = 22020300012.

The previous prime is 22020300011. The next prime is 22020300019. The reversal of 22020300013 is 31000302022.

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., 15006740004 + 7013560009 = 122502^2 + 83747^2 .

It is a cyclic number.

It is not a de Polignac number, because 22020300013 - 21 = 22020300011 is a prime.

It is a super-2 number, since 2×220203000132 (a number of 21 digits) contains 22 as substring.

Together with 22020300011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22020299966 and 22020300002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22020300011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11010150006 + 11010150007.

It is an arithmetic number, because the mean of its divisors is an integer number (11010150007).

Almost surely, 222020300013 is an apocalyptic number.

It is an amenable number.

22020300013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22020300013 is an equidigital number, since it uses as much as digits as its factorization.

22020300013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 22020300013 its reverse (31000302022), we get a palindrome (53020602035).

The spelling of 22020300013 in words is "twenty-two billion, twenty million, three hundred thousand, thirteen".