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301310212113 = 32148013226189
BaseRepresentation
bin1000110001001110111…
…11001111100000010001
31001210201211022200212200
410120213133033200101
514414040403241423
6350230415313413
730524514354621
oct4304737174021
91053654280780
10301310212113
1110686a83a029
124a49021b869
132254b400b51
1410825160881
157c87719d43
hex46277cf811

301310212113 has 12 divisors (see below), whose sum is σ = 435230726580. Its totient is φ = 200871229536.

The previous prime is 301310212111. The next prime is 301310212141. The reversal of 301310212113 is 311212013103.

301310212113 is a `hidden beast` number, since 30 + 1 + 310 + 212 + 113 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 148422956049 + 152887256064 = 385257^2 + 391008^2 .

It is not a de Polignac number, because 301310212113 - 21 = 301310212111 is a prime.

It is not an unprimeable number, because it can be changed into a prime (301310212111) 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 in 11 ways as a sum of consecutive naturals, for example, 1219023 + ... + 1445211.

It is an arithmetic number, because the mean of its divisors is an integer number (36269227215).

Almost surely, 2301310212113 is an apocalyptic number.

It is an amenable number.

301310212113 is a deficient number, since it is larger than the sum of its proper divisors (133920514467).

301310212113 is a wasteful number, since it uses less digits than its factorization.

301310212113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374208 (or 374205 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 301310212113 its reverse (311212013103), we get a palindrome (612522225216).

The spelling of 301310212113 in words is "three hundred one billion, three hundred ten million, two hundred twelve thousand, one hundred thirteen".

Divisors: 1 3 9 148013 226189 444039 678567 1332117 2035701 33478912457 100436737371 301310212113