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346201364624431 is a prime number
BaseRepresentation
bin100111010110111100100100…
…1010110111111010000101111
31200101210112020100110221100211
41032231321021112333100233
5330334130343320440211
63224150413350203251
7132631136360240011
oct11655711126772057
91611715210427324
10346201364624431
11a03461a0974728
12329b4188653527
1311b23857c922c4
14616c3421261b1
152a0575a690e21
hex13ade495bf42f

346201364624431 has 2 divisors, whose sum is σ = 346201364624432. Its totient is φ = 346201364624430.

The previous prime is 346201364624417. The next prime is 346201364624441. The reversal of 346201364624431 is 134426463102643.

It is a strong prime.

It is an emirp because it is prime and its reverse (134426463102643) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 346201364624431 - 235 = 346167004886063 is a prime.

It is a super-2 number, since 2×3462013646244312 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (346201364624441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 173100682312215 + 173100682312216.

It is an arithmetic number, because the mean of its divisors is an integer number (173100682312216).

Almost surely, 2346201364624431 is an apocalyptic number.

346201364624431 is a deficient number, since it is larger than the sum of its proper divisors (1).

346201364624431 is an equidigital number, since it uses as much as digits as its factorization.

346201364624431 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5971968, while the sum is 49.

The spelling of 346201364624431 in words is "three hundred forty-six trillion, two hundred one billion, three hundred sixty-four million, six hundred twenty-four thousand, four hundred thirty-one".