Search a number
-
+
330313112101129 is a prime number
BaseRepresentation
bin100101100011010110000001…
…1101101100010000100001001
31121022112121212201022010101111
41023012230003231202010021
5321243322223144214004
63130303425430250321
7126401222562132013
oct11306540355420411
91538477781263344
10330313112101129
1196280005599493
1231068a88ab69a1
1311240515034191
145b7d3505111b3
15282c306edda04
hex12c6b03b62109

330313112101129 has 2 divisors, whose sum is σ = 330313112101130. Its totient is φ = 330313112101128.

The previous prime is 330313112101117. The next prime is 330313112101213. The reversal of 330313112101129 is 921101211313033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 243505039203904 + 86808072897225 = 15604648^2 + 9317085^2 .

It is an emirp because it is prime and its reverse (921101211313033) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 330313112101129 - 25 = 330313112101097 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 330313112101129.

It is not a weakly prime, because it can be changed into another prime (330313112101429) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 165156556050564 + 165156556050565.

It is an arithmetic number, because the mean of its divisors is an integer number (165156556050565).

Almost surely, 2330313112101129 is an apocalyptic number.

It is an amenable number.

330313112101129 is a deficient number, since it is larger than the sum of its proper divisors (1).

330313112101129 is an equidigital number, since it uses as much as digits as its factorization.

330313112101129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 31.

The spelling of 330313112101129 in words is "three hundred thirty trillion, three hundred thirteen billion, one hundred twelve million, one hundred one thousand, one hundred twenty-nine".