Search a number
-
+
314210213113 is a prime number
BaseRepresentation
bin1001001001010000110…
…00110101110011111001
31010001000211221122111111
410210220120311303321
520122000303304423
6400202435200321
731462264513156
oct4445030656371
91101024848444
10314210213113
1111128a523785
1250a904460a1
1323825b5c634
14112ca4d922d
15828eeb760d
hex4928635cf9

314210213113 has 2 divisors, whose sum is σ = 314210213114. Its totient is φ = 314210213112.

The previous prime is 314210213063. The next prime is 314210213117. The reversal of 314210213113 is 311312012413.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 268539531264 + 45670681849 = 518208^2 + 213707^2 .

It is a cyclic number.

It is not a de Polignac number, because 314210213113 - 229 = 313673342201 is a prime.

It is not a weakly prime, because it can be changed into another prime (314210213117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 157105106556 + 157105106557.

It is an arithmetic number, because the mean of its divisors is an integer number (157105106557).

Almost surely, 2314210213113 is an apocalyptic number.

It is an amenable number.

314210213113 is a deficient number, since it is larger than the sum of its proper divisors (1).

314210213113 is an equidigital number, since it uses as much as digits as its factorization.

314210213113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 314210213113 its reverse (311312012413), we get a palindrome (625522225526).

The spelling of 314210213113 in words is "three hundred fourteen billion, two hundred ten million, two hundred thirteen thousand, one hundred thirteen".