Search a number
-
+
3132340432313 is a prime number
BaseRepresentation
bin101101100101001110000…
…010011110110110111001
3102002110010012010210122012
4231211032002132312321
5402310013122313223
610354551034135305
7442206213241211
oct55451602366671
912073105123565
103132340432313
11aa8466572294
1242709a581535
131994bc565111
14ab86b157241
155672ccb3c78
hex2d94e09edb9

3132340432313 has 2 divisors, whose sum is σ = 3132340432314. Its totient is φ = 3132340432312.

The previous prime is 3132340432253. The next prime is 3132340432321.

3132340432313 is nontrivially palindromic in base 10.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2259093168784 + 873247263529 = 1503028^2 + 934477^2 .

It is a palprime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-3132340432313 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 3132340432313.

It is not a weakly prime, because it can be changed into another prime (3132340438313) 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, 1566170216156 + 1566170216157.

It is an arithmetic number, because the mean of its divisors is an integer number (1566170216157).

Almost surely, 23132340432313 is an apocalyptic number.

It is an amenable number.

3132340432313 is a deficient number, since it is larger than the sum of its proper divisors (1).

3132340432313 is an equidigital number, since it uses as much as digits as its factorization.

3132340432313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 32.

It can be divided in two parts, 3132340 and 432313, that added together give a palindrome (3564653).

The spelling of 3132340432313 in words is "three trillion, one hundred thirty-two billion, three hundred forty million, four hundred thirty-two thousand, three hundred thirteen".