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231222134140289 is a prime number
BaseRepresentation
bin110100100100101110011001…
…001010110110110110000001
31010022200121202002022202101122
4310210232121022312312001
5220301320412314442124
62135433552040442025
766463151014552235
oct6444563112666601
91108617662282348
10231222134140289
1167746835856716
1221b24494a79315
139c031cc872c56
1441152d4dd65c5
151bae941d2c75e
hexd24b992b6d81

231222134140289 has 2 divisors, whose sum is σ = 231222134140290. Its totient is φ = 231222134140288.

The previous prime is 231222134140213. The next prime is 231222134140297. The reversal of 231222134140289 is 982041431222132.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 202994590178689 + 28227543961600 = 14247617^2 + 5312960^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-231222134140289 is a prime.

It is not a weakly prime, because it can be changed into another prime (231222134140589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 115611067070144 + 115611067070145.

It is an arithmetic number, because the mean of its divisors is an integer number (115611067070145).

Almost surely, 2231222134140289 is an apocalyptic number.

It is an amenable number.

231222134140289 is a deficient number, since it is larger than the sum of its proper divisors (1).

231222134140289 is an equidigital number, since it uses as much as digits as its factorization.

231222134140289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 331776, while the sum is 44.

The spelling of 231222134140289 in words is "two hundred thirty-one trillion, two hundred twenty-two billion, one hundred thirty-four million, one hundred forty thousand, two hundred eighty-nine".