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345122300513 is a prime number
BaseRepresentation
bin1010000010110101110…
…01000110001001100001
31012222211011111101120102
411001122321012021201
521123302302104023
6422314052352145
733635311103024
oct5013271061141
91188734441512
10345122300513
111234025a5551
1256a78915655
1326711190b03
14129bdb291bb
158e9dc09628
hex505ae46261

345122300513 has 2 divisors, whose sum is σ = 345122300514. Its totient is φ = 345122300512.

The previous prime is 345122300377. The next prime is 345122300521. The reversal of 345122300513 is 315003221543.

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., 258234716224 + 86887584289 = 508168^2 + 294767^2 .

It is a cyclic number.

It is not a de Polignac number, because 345122300513 - 222 = 345118106209 is a prime.

It is a super-2 number, since 2×3451223005132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (345122300573) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 172561150256 + 172561150257.

It is an arithmetic number, because the mean of its divisors is an integer number (172561150257).

Almost surely, 2345122300513 is an apocalyptic number.

It is an amenable number.

345122300513 is a deficient number, since it is larger than the sum of its proper divisors (1).

345122300513 is an equidigital number, since it uses as much as digits as its factorization.

345122300513 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10800, while the sum is 29.

The spelling of 345122300513 in words is "three hundred forty-five billion, one hundred twenty-two million, three hundred thousand, five hundred thirteen".