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302112323137 is a prime number
BaseRepresentation
bin1000110010101110100…
…11000011011001000001
31001212210201122011100101
410121113103003121001
514422211223320022
6350442151322401
730553424243002
oct4312723033101
91055721564311
10302112323137
111071415919a9
124a674980401
1322648642861
141089d8b91a9
157cd2d5c627
hex46574c3641

302112323137 has 2 divisors, whose sum is σ = 302112323138. Its totient is φ = 302112323136.

The previous prime is 302112323129. The next prime is 302112323173. The reversal of 302112323137 is 731323211203.

It is a happy number.

Together with next prime (302112323173) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 260381596176 + 41730726961 = 510276^2 + 204281^2 .

It is a cyclic number.

It is not a de Polignac number, because 302112323137 - 23 = 302112323129 is a prime.

It is not a weakly prime, because it can be changed into another prime (302112323197) 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, 151056161568 + 151056161569.

It is an arithmetic number, because the mean of its divisors is an integer number (151056161569).

Almost surely, 2302112323137 is an apocalyptic number.

It is an amenable number.

302112323137 is a deficient number, since it is larger than the sum of its proper divisors (1).

302112323137 is an equidigital number, since it uses as much as digits as its factorization.

302112323137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4536, while the sum is 28.

The spelling of 302112323137 in words is "three hundred two billion, one hundred twelve million, three hundred twenty-three thousand, one hundred thirty-seven".