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331202122271213 is a prime number
BaseRepresentation
bin100101101001110100000000…
…0110110001100100111101101
31121102200121120100210000010012
41023103220000312030213231
5321402403421300134323
63132224053211423005
7126522364225655054
oct11323500066144755
91542617510700105
10331202122271213
1196593038667416
1231191234754a65
13112a62c2a16a3b
145bb03a811339b
1528454d97d9678
hex12d3a00d8c9ed

331202122271213 has 2 divisors, whose sum is σ = 331202122271214. Its totient is φ = 331202122271212.

The previous prime is 331202122271201. The next prime is 331202122271227. The reversal of 331202122271213 is 312172221202133.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 245729545632169 + 85472576639044 = 15675763^2 + 9245138^2 .

It is a cyclic number.

It is not a de Polignac number, because 331202122271213 - 26 = 331202122271149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331202122271213.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331202122273213) 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, 165601061135606 + 165601061135607.

It is an arithmetic number, because the mean of its divisors is an integer number (165601061135607).

Almost surely, 2331202122271213 is an apocalyptic number.

It is an amenable number.

331202122271213 is a deficient number, since it is larger than the sum of its proper divisors (1).

331202122271213 is an equidigital number, since it uses as much as digits as its factorization.

331202122271213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 32.

Adding to 331202122271213 its reverse (312172221202133), we get a palindrome (643374343473346).

The spelling of 331202122271213 in words is "three hundred thirty-one trillion, two hundred two billion, one hundred twenty-two million, two hundred seventy-one thousand, two hundred thirteen".