Search a number
-
+
312030112117 is a prime number
BaseRepresentation
bin1001000101001100111…
…00011010100101110101
31002211101220201001011011
410202212130122211311
520103014202041432
6355202240112221
731354253122453
oct4424634324565
91084356631134
10312030112117
11110370955619
1250582305671
13235692a7449
1411160b5b9d3
1581b38cb847
hex48a671a975

312030112117 has 2 divisors, whose sum is σ = 312030112118. Its totient is φ = 312030112116.

The previous prime is 312030112013. The next prime is 312030112129. The reversal of 312030112117 is 711211030213.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 210902296081 + 101127816036 = 459241^2 + 318006^2 .

It is a cyclic number.

It is not a de Polignac number, because 312030112117 - 215 = 312030079349 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (312030112157) 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 as a sum of consecutive naturals, namely, 156015056058 + 156015056059.

It is an arithmetic number, because the mean of its divisors is an integer number (156015056059).

Almost surely, 2312030112117 is an apocalyptic number.

It is an amenable number.

312030112117 is a deficient number, since it is larger than the sum of its proper divisors (1).

312030112117 is an equidigital number, since it uses as much as digits as its factorization.

312030112117 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 22.

The spelling of 312030112117 in words is "three hundred twelve billion, thirty million, one hundred twelve thousand, one hundred seventeen".