Search a number
-
+
33203514013 is a prime number
BaseRepresentation
bin11110111011000101…
…010110101010011101
310011201000021021110021
4132323011112222131
51021000044422023
623130430312141
72253546132565
oct367305265235
9104630237407
1033203514013
111309957757a
126527958651
133191c94217
14186daa9da5
15ce4ebd35d
hex7bb156a9d

33203514013 has 2 divisors, whose sum is σ = 33203514014. Its totient is φ = 33203514012.

The previous prime is 33203513983. The next prime is 33203514037. The reversal of 33203514013 is 31041530233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 32839963524 + 363550489 = 181218^2 + 19067^2 .

It is a cyclic number.

It is not a de Polignac number, because 33203514013 - 213 = 33203505821 is a prime.

It is a super-2 number, since 2×332035140132 (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 (33203514053) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16601757006 + 16601757007.

It is an arithmetic number, because the mean of its divisors is an integer number (16601757007).

Almost surely, 233203514013 is an apocalyptic number.

It is an amenable number.

33203514013 is a deficient number, since it is larger than the sum of its proper divisors (1).

33203514013 is an equidigital number, since it uses as much as digits as its factorization.

33203514013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3240, while the sum is 25.

The spelling of 33203514013 in words is "thirty-three billion, two hundred three million, five hundred fourteen thousand, thirteen".