Search a number
-
+
33031863041 is a prime number
BaseRepresentation
bin11110110000110110…
…100011101100000001
310011021001021111120212
4132300312203230001
51020122124104131
623101415243505
72246363126462
oct366066435401
9104231244525
1033031863041
1113010697671
12649a379595
1331655545b8
141854d86d69
15cd4db3a2b
hex7b0da3b01

33031863041 has 2 divisors, whose sum is σ = 33031863042. Its totient is φ = 33031863040.

The previous prime is 33031863017. The next prime is 33031863079. The reversal of 33031863041 is 14036813033.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 30737453041 + 2294410000 = 175321^2 + 47900^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33031863041 is a prime.

It is a super-2 number, since 2×330318630412 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 33031862989 and 33031863007.

It is not a weakly prime, because it can be changed into another prime (33031863001) 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, 16515931520 + 16515931521.

It is an arithmetic number, because the mean of its divisors is an integer number (16515931521).

Almost surely, 233031863041 is an apocalyptic number.

It is an amenable number.

33031863041 is a deficient number, since it is larger than the sum of its proper divisors (1).

33031863041 is an equidigital number, since it uses as much as digits as its factorization.

33031863041 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15552, while the sum is 32.

The spelling of 33031863041 in words is "thirty-three billion, thirty-one million, eight hundred sixty-three thousand, forty-one".