Search a number
-
+
354225426211001 is a prime number
BaseRepresentation
bin101000010001010101000100…
…0101100110010000010111001
31201110012121201222222120211002
41100202222020230302002321
5332412112133102223001
63253212525253414345
7134416641164332352
oct12042521054620271
91643177658876732
10354225426211001
11a295a183504aa4
123388b31663a3b5
1312286411866947
146368860272d29
152ae4339c1046b
hex1422a88b320b9

354225426211001 has 2 divisors, whose sum is σ = 354225426211002. Its totient is φ = 354225426211000.

The previous prime is 354225426210967. The next prime is 354225426211087. The reversal of 354225426211001 is 100112624522453.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 201769979339776 + 152455446871225 = 14204576^2 + 12347285^2 .

It is a cyclic number.

It is not a de Polignac number, because 354225426211001 - 238 = 353950548304057 is a prime.

It is a super-3 number, since 3×3542254262110013 (a number of 45 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (354225426211801) 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, 177112713105500 + 177112713105501.

It is an arithmetic number, because the mean of its divisors is an integer number (177112713105501).

Almost surely, 2354225426211001 is an apocalyptic number.

It is an amenable number.

354225426211001 is a deficient number, since it is larger than the sum of its proper divisors (1).

354225426211001 is an equidigital number, since it uses as much as digits as its factorization.

354225426211001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 115200, while the sum is 38.

The spelling of 354225426211001 in words is "three hundred fifty-four trillion, two hundred twenty-five billion, four hundred twenty-six million, two hundred eleven thousand, one".