Search a number
-
+
38333012012017 is a prime number
BaseRepresentation
bin10001011011101000110011…
…00100000110101111110001
312000201121012111221011012021
420231310121210012233301
520011022002033341032
6213305535334231441
711034316525662112
oct1055643144065761
9160647174834167
1038333012012017
1111239a36a39848
1243712401b5581
131850a31255c18
14967483228209
154671e2690097
hex22dd19906bf1

38333012012017 has 2 divisors, whose sum is σ = 38333012012018. Its totient is φ = 38333012012016.

The previous prime is 38333012011969. The next prime is 38333012012041. The reversal of 38333012012017 is 71021021033383.

38333012012017 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 33857921387536 + 4475090624481 = 5818756^2 + 2115441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-38333012012017 is a prime.

It is a super-2 number, since 2×383330120120172 (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (38333012082017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19166506006008 + 19166506006009.

It is an arithmetic number, because the mean of its divisors is an integer number (19166506006009).

Almost surely, 238333012012017 is an apocalyptic number.

It is an amenable number.

38333012012017 is a deficient number, since it is larger than the sum of its proper divisors (1).

38333012012017 is an equidigital number, since it uses as much as digits as its factorization.

38333012012017 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 38333012012017 in words is "thirty-eight trillion, three hundred thirty-three billion, twelve million, twelve thousand, seventeen".