Search a number
-
+
335405430552097 is a prime number
BaseRepresentation
bin100110001000011001010100…
…1100010110011011000100001
31121222120110001010212110202101
41030100302221202303120201
5322430240310210131342
63145203043323450401
7130435146145600033
oct11420625142633041
91558513033773671
10335405430552097
119796370a5aa614
123174b9a0086a01
131151c79a352b99
145cb79d0a67c53
1528b99e93a53b7
hex1310ca98b3621

335405430552097 has 2 divisors, whose sum is σ = 335405430552098. Its totient is φ = 335405430552096.

The previous prime is 335405430552083. The next prime is 335405430552169. The reversal of 335405430552097 is 790255034504533.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 309386851644816 + 26018578907281 = 17589396^2 + 5100841^2 .

It is a cyclic number.

It is not a de Polignac number, because 335405430552097 - 27 = 335405430551969 is a prime.

It is a super-2 number, since 2×3354054305520972 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (335405431552097) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 167702715276048 + 167702715276049.

It is an arithmetic number, because the mean of its divisors is an integer number (167702715276049).

Almost surely, 2335405430552097 is an apocalyptic number.

It is an amenable number.

335405430552097 is a deficient number, since it is larger than the sum of its proper divisors (1).

335405430552097 is an equidigital number, since it uses as much as digits as its factorization.

335405430552097 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 34020000, while the sum is 55.

The spelling of 335405430552097 in words is "three hundred thirty-five trillion, four hundred five billion, four hundred thirty million, five hundred fifty-two thousand, ninety-seven".