Search a number
-
+
113000333 is a prime number
BaseRepresentation
bin1101011110000…
…11111110001101
321212122000022112
412233003332031
5212412002313
615113553405
72541326015
oct657037615
9255560275
10113000333
1158870906
1231a15865
131a545c04
1411016c45
159dc18a8
hex6bc3f8d

113000333 has 2 divisors, whose sum is σ = 113000334. Its totient is φ = 113000332.

The previous prime is 113000323. The next prime is 113000341. The reversal of 113000333 is 333000311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 109767529 + 3232804 = 10477^2 + 1798^2 .

It is a cyclic number.

It is not a de Polignac number, because 113000333 - 28 = 113000077 is a prime.

It is a super-2 number, since 2×1130003332 = 25538150516221778, which contains 22 as substring.

113000333 is a modest number, since divided by 333 gives 113 as remainder.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113000323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56500166 + 56500167.

It is an arithmetic number, because the mean of its divisors is an integer number (56500167).

Almost surely, 2113000333 is an apocalyptic number.

It is an amenable number.

113000333 is a deficient number, since it is larger than the sum of its proper divisors (1).

113000333 is an equidigital number, since it uses as much as digits as its factorization.

113000333 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 14.

The square root of 113000333 is about 10630.1614757256. The cubic root of 113000333 is about 483.4592876127.

Adding to 113000333 its reverse (333000311), we get a palindrome (446000644).

The spelling of 113000333 in words is "one hundred thirteen million, three hundred thirty-three", and thus it is an aban number.