Search a number
-
+
33022638133 is a prime number
BaseRepresentation
bin11110110000010011…
…010111100000110101
310011020101220211101121
4132300103113200311
51020112243410013
623100445423541
72246221535632
oct366023274065
9104211824347
1033022638133
1113006466881
12649726abb1
133163674784
141853a65189
15cd419058d
hex7b04d7835

33022638133 has 2 divisors, whose sum is σ = 33022638134. Its totient is φ = 33022638132.

The previous prime is 33022638071. The next prime is 33022638137. The reversal of 33022638133 is 33183622033.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20329911889 + 12692726244 = 142583^2 + 112662^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33022638133 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33022638137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16511319066 + 16511319067.

It is an arithmetic number, because the mean of its divisors is an integer number (16511319067).

Almost surely, 233022638133 is an apocalyptic number.

It is an amenable number.

33022638133 is a deficient number, since it is larger than the sum of its proper divisors (1).

33022638133 is an equidigital number, since it uses as much as digits as its factorization.

33022638133 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 46656, while the sum is 34.

The spelling of 33022638133 in words is "thirty-three billion, twenty-two million, six hundred thirty-eight thousand, one hundred thirty-three".