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301211312117 is a prime number
BaseRepresentation
bin1000110001000011001…
…01111101111111110101
31001210110221020001120212
410120201211331333311
514413340043441432
6350212523435205
730522203623502
oct4304145757765
91053427201525
10301211312117
11106819a29aa1
124a463085b05
1322533a83c41
1410815d784a9
157c7dbd12b2
hex462197dff5

301211312117 has 2 divisors, whose sum is σ = 301211312118. Its totient is φ = 301211312116.

The previous prime is 301211312063. The next prime is 301211312131. The reversal of 301211312117 is 711213112103.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 229665226756 + 71546085361 = 479234^2 + 267481^2 .

It is a cyclic number.

It is not a de Polignac number, because 301211312117 - 26 = 301211312053 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 301211312092 and 301211312101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (301211312147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 150605656058 + 150605656059.

It is an arithmetic number, because the mean of its divisors is an integer number (150605656059).

Almost surely, 2301211312117 is an apocalyptic number.

It is an amenable number.

301211312117 is a deficient number, since it is larger than the sum of its proper divisors (1).

301211312117 is an equidigital number, since it uses as much as digits as its factorization.

301211312117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 252, while the sum is 23.

The spelling of 301211312117 in words is "three hundred one billion, two hundred eleven million, three hundred twelve thousand, one hundred seventeen".