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100222230013 is a prime number
BaseRepresentation
bin101110101010110110…
…1011101110111111101
3100120200122210210111221
41131111231131313331
53120223342330023
6114012542113341
710145412620263
oct1352555356775
9316618723457
10100222230013
113955a921874
121751027b851
1395b287b1a9
144bca78c433
1529189d585d
hex1755b5ddfd

100222230013 has 2 divisors, whose sum is σ = 100222230014. Its totient is φ = 100222230012.

The previous prime is 100222230011. The next prime is 100222230019. The reversal of 100222230013 is 310032222001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 57306135769 + 42916094244 = 239387^2 + 207162^2 .

It is an emirp because it is prime and its reverse (310032222001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 100222230013 - 21 = 100222230011 is a prime.

Together with 100222230011, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (100222230011) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50111115006 + 50111115007.

It is an arithmetic number, because the mean of its divisors is an integer number (50111115007).

Almost surely, 2100222230013 is an apocalyptic number.

It is an amenable number.

100222230013 is a deficient number, since it is larger than the sum of its proper divisors (1).

100222230013 is an equidigital number, since it uses as much as digits as its factorization.

100222230013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 100222230013 its reverse (310032222001), we get a palindrome (410254452014).

The spelling of 100222230013 in words is "one hundred billion, two hundred twenty-two million, two hundred thirty thousand, thirteen".