Search a number
-
+
33202031330009 is a prime number
BaseRepresentation
bin1111000110010011100110…
…10010001000001011011001
311100120002020122112222100102
413203021303102020023121
513322440230010030014
6154340445211145145
76664524200540243
oct743116322101331
9140502218488312
1033202031330009
11a6409a2124263
1238829391451b5
13156ac27084b29
1482adb6057093
153c89dae928de
hex1e32734882d9

33202031330009 has 2 divisors, whose sum is σ = 33202031330010. Its totient is φ = 33202031330008.

The previous prime is 33202031329969. The next prime is 33202031330023. The reversal of 33202031330009 is 90003313020233.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 31334558761984 + 1867472568025 = 5597728^2 + 1366555^2 .

It is an emirp because it is prime and its reverse (90003313020233) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-33202031330009 is a prime.

It is a super-2 number, since 2×332020313300092 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (33202031330089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 16601015665004 + 16601015665005.

It is an arithmetic number, because the mean of its divisors is an integer number (16601015665005).

Almost surely, 233202031330009 is an apocalyptic number.

It is an amenable number.

33202031330009 is a deficient number, since it is larger than the sum of its proper divisors (1).

33202031330009 is an equidigital number, since it uses as much as digits as its factorization.

33202031330009 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8748, while the sum is 29.

The spelling of 33202031330009 in words is "thirty-three trillion, two hundred two billion, thirty-one million, three hundred thirty thousand, nine".