Search a number
-
+
33113120113 is a prime number
BaseRepresentation
bin11110110101101100…
…100001110101110001
310011110201011210100001
4132311230201311301
51020303424320423
623113441030001
72251400606533
oct366554416561
9104421153301
1033113120113
1113052547277
126501625301
133179334bc8
141861a99853
15cdc0b4cad
hex7b5b21d71

33113120113 has 2 divisors, whose sum is σ = 33113120114. Its totient is φ = 33113120112.

The previous prime is 33113120107. The next prime is 33113120119. The reversal of 33113120113 is 31102131133.

It is a balanced prime because it is at equal distance from previous prime (33113120107) and next prime (33113120119).

It can be written as a sum of positive squares in only one way, i.e., 31452313104 + 1660807009 = 177348^2 + 40753^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33113120113 is a prime.

It is not a weakly prime, because it can be changed into another prime (33113120119) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16556560056 + 16556560057.

It is an arithmetic number, because the mean of its divisors is an integer number (16556560057).

Almost surely, 233113120113 is an apocalyptic number.

It is an amenable number.

33113120113 is a deficient number, since it is larger than the sum of its proper divisors (1).

33113120113 is an equidigital number, since it uses as much as digits as its factorization.

33113120113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 33113120113 its reverse (31102131133), we get a palindrome (64215251246).

The spelling of 33113120113 in words is "thirty-three billion, one hundred thirteen million, one hundred twenty thousand, one hundred thirteen".