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12331312237 is a prime number
BaseRepresentation
bin10110111110000000…
…01110010001101101
31011211101112120022001
423133000032101231
5200223303442422
65355342452301
7614403265426
oct133700162155
934741476261
1012331312237
115258782442
122481894091
1312169a697a
1484da2264d
154c28b7227
hex2df00e46d

12331312237 has 2 divisors, whose sum is σ = 12331312238. Its totient is φ = 12331312236.

The previous prime is 12331312223. The next prime is 12331312243. The reversal of 12331312237 is 73221313321.

It is a happy number.

12331312237 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 12018517641 + 312794596 = 109629^2 + 17686^2 .

It is a cyclic number.

It is not a de Polignac number, because 12331312237 - 27 = 12331312109 is a prime.

It is a super-2 number, since 2×123313122372 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12331312267) 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, 6165656118 + 6165656119.

It is an arithmetic number, because the mean of its divisors is an integer number (6165656119).

Almost surely, 212331312237 is an apocalyptic number.

It is an amenable number.

12331312237 is a deficient number, since it is larger than the sum of its proper divisors (1).

12331312237 is an equidigital number, since it uses as much as digits as its factorization.

12331312237 is an odious number, because the sum of its binary digits is odd.

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

Adding to 12331312237 its reverse (73221313321), we get a palindrome (85552625558).

The spelling of 12331312237 in words is "twelve billion, three hundred thirty-one million, three hundred twelve thousand, two hundred thirty-seven".