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301100313113 is a prime number
BaseRepresentation
bin1000110000110101111…
…10100010101000011001
31001210012012100201120122
410120122332202220121
514413123140004423
6350153520403025
730516355301315
oct4303276425031
91053165321518
10301100313113
11106772305886
124a431a76475
1322516a8bc62
1410805322b45
157c740a78c8
hex461afa2a19

301100313113 has 2 divisors, whose sum is σ = 301100313114. Its totient is φ = 301100313112.

The previous prime is 301100313077. The next prime is 301100313161. The reversal of 301100313113 is 311313001103.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 287308864144 + 13791448969 = 536012^2 + 117437^2 .

It is a cyclic number.

It is not a de Polignac number, because 301100313113 - 214 = 301100296729 is a prime.

It is a super-2 number, since 2×3011003131132 (a number of 24 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 301100313091 and 301100313100.

It is not a weakly prime, because it can be changed into another prime (301103313113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150550156556 + 150550156557.

It is an arithmetic number, because the mean of its divisors is an integer number (150550156557).

Almost surely, 2301100313113 is an apocalyptic number.

It is an amenable number.

301100313113 is a deficient number, since it is larger than the sum of its proper divisors (1).

301100313113 is an equidigital number, since it uses as much as digits as its factorization.

301100313113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 301100313113 its reverse (311313001103), we get a palindrome (612413314216).

The spelling of 301100313113 in words is "three hundred one billion, one hundred million, three hundred thirteen thousand, one hundred thirteen".