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312132330121 is a prime number
BaseRepresentation
bin1001000101011001000…
…10010110001010001001
31002211200001001020220011
410202230202112022021
520103221334030441
6355220331031521
731356634013233
oct4425442261211
91084601036804
10312132330121
11110413621507
12505b059b5a1
1323584516681
1411170569253
1581bc86d581
hex48ac896289

312132330121 has 2 divisors, whose sum is σ = 312132330122. Its totient is φ = 312132330120.

The previous prime is 312132330119. The next prime is 312132330127. The reversal of 312132330121 is 121033231213.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 292156465225 + 19975864896 = 540515^2 + 141336^2 .

It is a cyclic number.

It is not a de Polignac number, because 312132330121 - 21 = 312132330119 is a prime.

Together with 312132330119, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 312132330092 and 312132330101.

It is not a weakly prime, because it can be changed into another prime (312132330127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 156066165060 + 156066165061.

It is an arithmetic number, because the mean of its divisors is an integer number (156066165061).

Almost surely, 2312132330121 is an apocalyptic number.

It is an amenable number.

312132330121 is a deficient number, since it is larger than the sum of its proper divisors (1).

312132330121 is an equidigital number, since it uses as much as digits as its factorization.

312132330121 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 22.

Adding to 312132330121 its reverse (121033231213), we get a palindrome (433165561334).

The spelling of 312132330121 in words is "three hundred twelve billion, one hundred thirty-two million, three hundred thirty thousand, one hundred twenty-one".