Search a number
-
+
420313545204167 is a prime number
BaseRepresentation
bin101111110010001011101111…
…1100011100110000111000111
32001010012120201122100022112002
41133210113133203212013013
5420042404120033013132
64045533213235015515
7154350436322143016
oct13744273743460707
92033176648308462
10420313545204167
11111a19a7879733a
123b1836b7a3a59b
131506b5219836a4
1475b13d9934a7d
15338d4be8bc262
hex17e45df8e61c7

420313545204167 has 2 divisors, whose sum is σ = 420313545204168. Its totient is φ = 420313545204166.

The previous prime is 420313545204037. The next prime is 420313545204391. The reversal of 420313545204167 is 761402545313024.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 420313545204167 - 224 = 420313528426951 is a prime.

It is a super-2 number, since 2×4203135452041672 (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 (420313545204667) 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, 210156772602083 + 210156772602084.

It is an arithmetic number, because the mean of its divisors is an integer number (210156772602084).

Almost surely, 2420313545204167 is an apocalyptic number.

420313545204167 is a deficient number, since it is larger than the sum of its proper divisors (1).

420313545204167 is an equidigital number, since it uses as much as digits as its factorization.

420313545204167 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2419200, while the sum is 47.

The spelling of 420313545204167 in words is "four hundred twenty trillion, three hundred thirteen billion, five hundred forty-five million, two hundred four thousand, one hundred sixty-seven".