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22220100137 is a prime number
BaseRepresentation
bin10100101100011010…
…111101001000101001
32010100120001001002202
4110230122331020221
5331001321201022
614112513505545
71414430510024
oct245432751051
963316031082
1022220100137
119472738124
1243815722b5
132131626161
14110b0b61bb
158a0b08592
hex52c6bd229

22220100137 has 2 divisors, whose sum is σ = 22220100138. Its totient is φ = 22220100136.

The previous prime is 22220100083. The next prime is 22220100191. The reversal of 22220100137 is 73100102222.

It is a balanced prime because it is at equal distance from previous prime (22220100083) and next prime (22220100191).

It can be written as a sum of positive squares in only one way, i.e., 20939247616 + 1280852521 = 144704^2 + 35789^2 .

It is a cyclic number.

It is not a de Polignac number, because 22220100137 - 218 = 22219837993 is a prime.

It is not a weakly prime, because it can be changed into another prime (22220100437) 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, 11110050068 + 11110050069.

It is an arithmetic number, because the mean of its divisors is an integer number (11110050069).

Almost surely, 222220100137 is an apocalyptic number.

It is an amenable number.

22220100137 is a deficient number, since it is larger than the sum of its proper divisors (1).

22220100137 is an equidigital number, since it uses as much as digits as its factorization.

22220100137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 20.

Adding to 22220100137 its reverse (73100102222), we get a palindrome (95320202359).

The spelling of 22220100137 in words is "twenty-two billion, two hundred twenty million, one hundred thousand, one hundred thirty-seven".