Search a number
-
+
33340816133 is a prime number
BaseRepresentation
bin11111000011010001…
…000111101100000101
310012001120121221112222
4133003101013230011
51021240222104013
623152213222125
72260134155402
oct370321075405
9105046557488
1033340816133
111315a0266a9
126565931945
1331b4568591
14188400b2a9
15d02090508
hex7c3447b05

33340816133 has 2 divisors, whose sum is σ = 33340816134. Its totient is φ = 33340816132.

The previous prime is 33340816127. The next prime is 33340816139. The reversal of 33340816133 is 33161804333.

It is a balanced prime because it is at equal distance from previous prime (33340816127) and next prime (33340816139).

It can be written as a sum of positive squares in only one way, i.e., 31558456609 + 1782359524 = 177647^2 + 42218^2 .

It is a cyclic number.

It is not a de Polignac number, because 33340816133 - 214 = 33340799749 is a prime.

It is a super-2 number, since 2×333408161332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33340816093 and 33340816102.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33340816139) 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, 16670408066 + 16670408067.

It is an arithmetic number, because the mean of its divisors is an integer number (16670408067).

Almost surely, 233340816133 is an apocalyptic number.

It is an amenable number.

33340816133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33340816133 is an equidigital number, since it uses as much as digits as its factorization.

33340816133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 35.

The spelling of 33340816133 in words is "thirty-three billion, three hundred forty million, eight hundred sixteen thousand, one hundred thirty-three".