Search a number
-
+
33363004901 is a prime number
BaseRepresentation
bin11111000100100101…
…110000110111100101
310012010010101020211012
4133010211300313211
51021311412124101
623154324552005
72260523601602
oct370445606745
9105103336735
1033363004901
1113170601426
126571252605
1331b9037025
141886d456a9
15d03ec4bbb
hex7c4970de5

33363004901 has 2 divisors, whose sum is σ = 33363004902. Its totient is φ = 33363004900.

The previous prime is 33363004891. The next prime is 33363004919. The reversal of 33363004901 is 10940036333.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 21908440225 + 11454564676 = 148015^2 + 107026^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33363004901 is a prime.

It is a super-2 number, since 2×333630049012 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (33363004981) 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, 16681502450 + 16681502451.

It is an arithmetic number, because the mean of its divisors is an integer number (16681502451).

Almost surely, 233363004901 is an apocalyptic number.

It is an amenable number.

33363004901 is a deficient number, since it is larger than the sum of its proper divisors (1).

33363004901 is an equidigital number, since it uses as much as digits as its factorization.

33363004901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17496, while the sum is 32.

The spelling of 33363004901 in words is "thirty-three billion, three hundred sixty-three million, four thousand, nine hundred one".