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331230310031141 is a prime number
BaseRepresentation
bin100101101010000001001000…
…0111101111101111100100101
31121102210022022211000120110122
41023110002100331331330211
5321403334133331444031
63132245034225131325
7126524412601660133
oct11324022075757445
91542708284016418
10331230310031141
11965a3a92946684
12311967a0789b45
13112a8b657c4721
145bb18bd9ba753
1528460d928d47b
hex12d4090f7df25

331230310031141 has 2 divisors, whose sum is σ = 331230310031142. Its totient is φ = 331230310031140.

The previous prime is 331230310031129. The next prime is 331230310031147. The reversal of 331230310031141 is 141130013032133.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 177329438580100 + 153900871451041 = 13316510^2 + 12405679^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-331230310031141 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 331230310031141.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (331230310031147) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165615155015570 + 165615155015571.

It is an arithmetic number, because the mean of its divisors is an integer number (165615155015571).

Almost surely, 2331230310031141 is an apocalyptic number.

It is an amenable number.

331230310031141 is a deficient number, since it is larger than the sum of its proper divisors (1).

331230310031141 is an equidigital number, since it uses as much as digits as its factorization.

331230310031141 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 331230310031141 its reverse (141130013032133), we get a palindrome (472360323063274).

The spelling of 331230310031141 in words is "three hundred thirty-one trillion, two hundred thirty billion, three hundred ten million, thirty-one thousand, one hundred forty-one".