Search a number
-
+
111310301213 is a prime number
BaseRepresentation
bin110011110101010011…
…1000110100000011101
3101122022101222011201122
41213222213012200131
53310430414114323
6123045114020325
711020241643416
oct1475247064035
9348271864648
10111310301213
114322a843881
12196a57176a5
13a65bb00877
14555d22680d
152d6716eec8
hex19ea9c681d

111310301213 has 2 divisors, whose sum is σ = 111310301214. Its totient is φ = 111310301212.

The previous prime is 111310301183. The next prime is 111310301237. The reversal of 111310301213 is 312103013111.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 105789514009 + 5520787204 = 325253^2 + 74302^2 .

It is a cyclic number.

It is not a de Polignac number, because 111310301213 - 212 = 111310297117 is a prime.

It is a super-2 number, since 2×1113103012132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 111310301191 and 111310301200.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (111310301273) 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, 55655150606 + 55655150607.

It is an arithmetic number, because the mean of its divisors is an integer number (55655150607).

Almost surely, 2111310301213 is an apocalyptic number.

It is an amenable number.

111310301213 is a deficient number, since it is larger than the sum of its proper divisors (1).

111310301213 is an equidigital number, since it uses as much as digits as its factorization.

111310301213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 111310301213 its reverse (312103013111), we get a palindrome (423413314324).

The spelling of 111310301213 in words is "one hundred eleven billion, three hundred ten million, three hundred one thousand, two hundred thirteen".