Search a number
-
+
113920013 is a prime number
BaseRepresentation
bin1101100101001…
…00100000001101
321221100201212202
412302210200031
5213130420023
615145411245
72552206214
oct662444015
9257321782
10113920013
1159339879
1232199b25
131a7a86bc
14111b607b
15a004128
hex6ca480d

113920013 has 2 divisors, whose sum is σ = 113920014. Its totient is φ = 113920012.

The previous prime is 113919959. The next prime is 113920019. The reversal of 113920013 is 310029311.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 86062729 + 27857284 = 9277^2 + 5278^2 .

It is an emirp because it is prime and its reverse (310029311) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113920013 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113920019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56960006 + 56960007.

It is an arithmetic number, because the mean of its divisors is an integer number (56960007).

Almost surely, 2113920013 is an apocalyptic number.

It is an amenable number.

113920013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113920013 is an equidigital number, since it uses as much as digits as its factorization.

113920013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 162, while the sum is 20.

The square root of 113920013 is about 10673.3318602955. The cubic root of 113920013 is about 484.7673280822.

Adding to 113920013 its reverse (310029311), we get a palindrome (423949324).

The spelling of 113920013 in words is "one hundred thirteen million, nine hundred twenty thousand, thirteen".