[go: up one dir, main page]

Search a number
-
+
3321001001 is a prime number
BaseRepresentation
bin1100010111110010…
…0111010000101001
322120110001022221002
43011330213100221
523300134013001
61305312324345
7145204020443
oct30574472051
98513038832
103321001001
11145468922a
127882436b5
1340c056266
142370c5493
1514685046b
hexc5f27429

3321001001 has 2 divisors, whose sum is σ = 3321001002. Its totient is φ = 3321001000.

The previous prime is 3321000961. The next prime is 3321001003. The reversal of 3321001001 is 1001001233.

3321001001 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., 3099705625 + 221295376 = 55675^2 + 14876^2 .

It is a cyclic number.

It is not a de Polignac number, because 3321001001 - 218 = 3320738857 is a prime.

It is a super-2 number, since 2×33210010012 = 22058095297286004002, which contains 22 as substring.

Together with 3321001003, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (3321001003) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1660500500 + 1660500501.

It is an arithmetic number, because the mean of its divisors is an integer number (1660500501).

Almost surely, 23321001001 is an apocalyptic number.

It is an amenable number.

3321001001 is a deficient number, since it is larger than the sum of its proper divisors (1).

3321001001 is an equidigital number, since it uses as much as digits as its factorization.

3321001001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 11.

The square root of 3321001001 is about 57628.1268218914. The cubic root of 3321001001 is about 1491.9570998801.

Adding to 3321001001 its reverse (1001001233), we get a palindrome (4322002234).

The spelling of 3321001001 in words is "three billion, three hundred twenty-one million, one thousand, one".