Search a number
-
+
314101303122433 is a prime number
BaseRepresentation
bin100011101101011000110100…
…0100110001001101000000001
31112012010210100212120100210011
41013122301220212021220001
5312132213432044404213
63032012051400504521
7123106033050363001
oct10732615046115001
91465123325510704
10314101303122433
119109a6840103a2
122b28ab2aa7b141
1310635819b27758
14577c82701a001
15264a7680a203d
hex11dac68989a01

314101303122433 has 2 divisors, whose sum is σ = 314101303122434. Its totient is φ = 314101303122432.

The previous prime is 314101303122349. The next prime is 314101303122437. The reversal of 314101303122433 is 334221303101413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 311480423820864 + 2620879301569 = 17648808^2 + 1618913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-314101303122433 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 314101303122395 and 314101303122404.

It is not a weakly prime, because it can be changed into another prime (314101303122437) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157050651561216 + 157050651561217.

It is an arithmetic number, because the mean of its divisors is an integer number (157050651561217).

Almost surely, 2314101303122433 is an apocalyptic number.

It is an amenable number.

314101303122433 is a deficient number, since it is larger than the sum of its proper divisors (1).

314101303122433 is an equidigital number, since it uses as much as digits as its factorization.

314101303122433 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15552, while the sum is 31.

Adding to 314101303122433 its reverse (334221303101413), we get a palindrome (648322606223846).

The spelling of 314101303122433 in words is "three hundred fourteen trillion, one hundred one billion, three hundred three million, one hundred twenty-two thousand, four hundred thirty-three".