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22210011013 is a prime number
BaseRepresentation
bin10100101011110100…
…011101111110000101
32010022212001110102111
4110223310131332011
5330441230323023
614111513341021
71414245656461
oct245364357605
963285043374
1022210011013
119467a77003
12437a107771
13212c502b68
141109a0b4a1
1589ecb400d
hex52bd1df85

22210011013 has 2 divisors, whose sum is σ = 22210011014. Its totient is φ = 22210011012.

The previous prime is 22210011011. The next prime is 22210011023. The reversal of 22210011013 is 31011001222.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 17432713089 + 4777297924 = 132033^2 + 69118^2 .

It is a cyclic number.

It is not a de Polignac number, because 22210011013 - 21 = 22210011011 is a prime.

Together with 22210011011, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 22210010984 and 22210011002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (22210011011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11105005506 + 11105005507.

It is an arithmetic number, because the mean of its divisors is an integer number (11105005507).

Almost surely, 222210011013 is an apocalyptic number.

It is an amenable number.

22210011013 is a deficient number, since it is larger than the sum of its proper divisors (1).

22210011013 is an equidigital number, since it uses as much as digits as its factorization.

22210011013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 22210011013 its reverse (31011001222), we get a palindrome (53221012235).

The spelling of 22210011013 in words is "twenty-two billion, two hundred ten million, eleven thousand, thirteen".