Search a number
-
+
363001981 is a prime number
BaseRepresentation
bin10101101000101…
…111100001111101
3221022001102002211
4111220233201331
51220412030411
6100004220421
711665315546
oct2550574175
9838042084
10363001981
111769a5841
12a169a711
135a289294
14362d34cd
1521d06221
hex15a2f87d

363001981 has 2 divisors, whose sum is σ = 363001982. Its totient is φ = 363001980.

The previous prime is 363001967. The next prime is 363002039. The reversal of 363001981 is 189100363.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 236236900 + 126765081 = 15370^2 + 11259^2 .

It is a cyclic number.

It is not a de Polignac number, because 363001981 - 25 = 363001949 is a prime.

It is a super-2 number, since 2×3630019812 = 263540876419848722, which contains 22 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (363001181) 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, 181500990 + 181500991.

It is an arithmetic number, because the mean of its divisors is an integer number (181500991).

Almost surely, 2363001981 is an apocalyptic number.

It is an amenable number.

363001981 is a deficient number, since it is larger than the sum of its proper divisors (1).

363001981 is an equidigital number, since it uses as much as digits as its factorization.

363001981 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 31.

The square root of 363001981 is about 19052.6108709541. The cubic root of 363001981 is about 713.3505466242.

The spelling of 363001981 in words is "three hundred sixty-three million, one thousand, nine hundred eighty-one".