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456312734113 is a prime number
BaseRepresentation
bin1101010001111100101…
…10111100000110100001
31121121211012220122211211
412220332112330012201
524434012024442423
6545343245310121
744652566146255
oct6507626740641
91547735818754
10456312734113
11166580707a85
127452a265341
13340511b2aa2
141812b06c265
15bd0a59d10d
hex6a3e5bc1a1

456312734113 has 2 divisors, whose sum is σ = 456312734114. Its totient is φ = 456312734112.

The previous prime is 456312734071. The next prime is 456312734149. The reversal of 456312734113 is 311437213654.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 269763894544 + 186548839569 = 519388^2 + 431913^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-456312734113 is a prime.

It is a super-2 number, since 2×4563127341132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (456312734413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 228156367056 + 228156367057.

It is an arithmetic number, because the mean of its divisors is an integer number (228156367057).

Almost surely, 2456312734113 is an apocalyptic number.

It is an amenable number.

456312734113 is a deficient number, since it is larger than the sum of its proper divisors (1).

456312734113 is an equidigital number, since it uses as much as digits as its factorization.

456312734113 is an evil number, because the sum of its binary digits is even.

The product of its digits is 181440, while the sum is 40.

Adding to 456312734113 its reverse (311437213654), we get a palindrome (767749947767).

The spelling of 456312734113 in words is "four hundred fifty-six billion, three hundred twelve million, seven hundred thirty-four thousand, one hundred thirteen".