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301011214313 is a prime number
BaseRepresentation
bin1000110000101011010…
…10101001111111101001
31001202221222201001000002
410120111222221333221
514412432332324223
6350141014552345
730514224051125
oct4302552517751
91052858631002
10301011214313
11106726a8a607
124a4080686b5
1322501494284
14107d756c585
157c6b357e28
hex4615aa9fe9

301011214313 has 2 divisors, whose sum is σ = 301011214314. Its totient is φ = 301011214312.

The previous prime is 301011214249. The next prime is 301011214321. The reversal of 301011214313 is 313412110103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 287759290624 + 13251923689 = 536432^2 + 115117^2 .

It is a cyclic number.

It is not a de Polignac number, because 301011214313 - 26 = 301011214249 is a prime.

It is a super-2 number, since 2×3010112143132 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (301011214373) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150505607156 + 150505607157.

It is an arithmetic number, because the mean of its divisors is an integer number (150505607157).

Almost surely, 2301011214313 is an apocalyptic number.

It is an amenable number.

301011214313 is a deficient number, since it is larger than the sum of its proper divisors (1).

301011214313 is an equidigital number, since it uses as much as digits as its factorization.

301011214313 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 301011214313 its reverse (313412110103), we get a palindrome (614423324416).

The spelling of 301011214313 in words is "three hundred one billion, eleven million, two hundred fourteen thousand, three hundred thirteen".