Search a number
-
+
33231111133189 is a prime number
BaseRepresentation
bin1111000111001001110001…
…00100110001100000000101
311100122212022021100000222211
413203210320210301200011
513323424303422230224
6154402054532223421
76666603625021444
oct743447044614005
9140585267300884
1033231111133189
11a6522649a0852
1238884b3a6ab71
1315708ac901668
1482c5741a8d5b
153c963de00894
hex1e3938931805

33231111133189 has 2 divisors, whose sum is σ = 33231111133190. Its totient is φ = 33231111133188.

The previous prime is 33231111133061. The next prime is 33231111133217. The reversal of 33231111133189 is 98133111113233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22131219410689 + 11099891722500 = 4704383^2 + 3331650^2 .

It is a cyclic number.

It is not a de Polignac number, because 33231111133189 - 27 = 33231111133061 is a prime.

It is a super-2 number, since 2×332311111331892 (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33231111136189) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16615555566594 + 16615555566595.

It is an arithmetic number, because the mean of its divisors is an integer number (16615555566595).

Almost surely, 233231111133189 is an apocalyptic number.

It is an amenable number.

33231111133189 is a deficient number, since it is larger than the sum of its proper divisors (1).

33231111133189 is an equidigital number, since it uses as much as digits as its factorization.

33231111133189 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34992, while the sum is 40.

The spelling of 33231111133189 in words is "thirty-three trillion, two hundred thirty-one billion, one hundred eleven million, one hundred thirty-three thousand, one hundred eighty-nine".