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309056455324193 is a prime number
BaseRepresentation
bin100011001000101011101000…
…0001111000011001000100001
31111112021111201202102000212112
41012101113100033003020201
5311002040110030333233
63013150324152205105
7122045410033542263
oct10621272017031041
91445244652360775
10309056455324193
118a525119a44275
122a7b5265699795
131035ab8b542485
1456465ab303b33
1525ae4034a9048
hex11915d03c3221

309056455324193 has 2 divisors, whose sum is σ = 309056455324194. Its totient is φ = 309056455324192.

The previous prime is 309056455324187. The next prime is 309056455324213. The reversal of 309056455324193 is 391423554650903.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 178641722638864 + 130414732685329 = 13365692^2 + 11419927^2 .

It is an emirp because it is prime and its reverse (391423554650903) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 309056455324193 - 218 = 309056455062049 is a prime.

It is a super-2 number, since 2×3090564553241932 (a number of 30 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (309056455324093) 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, 154528227662096 + 154528227662097.

It is an arithmetic number, because the mean of its divisors is an integer number (154528227662097).

Almost surely, 2309056455324193 is an apocalyptic number.

It is an amenable number.

309056455324193 is a deficient number, since it is larger than the sum of its proper divisors (1).

309056455324193 is an equidigital number, since it uses as much as digits as its factorization.

309056455324193 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 52488000, while the sum is 59.

The spelling of 309056455324193 in words is "three hundred nine trillion, fifty-six billion, four hundred fifty-five million, three hundred twenty-four thousand, one hundred ninety-three".