Search a number
-
+
33130020233 is a prime number
BaseRepresentation
bin11110110110101100…
…111111110110001001
310011111212222101221102
4132312230333312021
51020322241121413
623115243151145
72251664345162
oct366654776611
9104455871842
1033130020233
111306103a612
1265072154b5
13317c9a138b
141864018769
15cdd802458
hex7b6b3fd89

33130020233 has 2 divisors, whose sum is σ = 33130020234. Its totient is φ = 33130020232.

The previous prime is 33130020169. The next prime is 33130020251. The reversal of 33130020233 is 33202003133.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33126912064 + 3108169 = 182008^2 + 1763^2 .

It is a cyclic number.

It is not a de Polignac number, because 33130020233 - 26 = 33130020169 is a prime.

It is not a weakly prime, because it can be changed into another prime (33130040233) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16565010116 + 16565010117.

It is an arithmetic number, because the mean of its divisors is an integer number (16565010117).

Almost surely, 233130020233 is an apocalyptic number.

It is an amenable number.

33130020233 is a deficient number, since it is larger than the sum of its proper divisors (1).

33130020233 is an equidigital number, since it uses as much as digits as its factorization.

33130020233 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 33130020233 its reverse (33202003133), we get a palindrome (66332023366).

The spelling of 33130020233 in words is "thirty-three billion, one hundred thirty million, twenty thousand, two hundred thirty-three".