Search a number
-
+
3210002113 is a prime number
BaseRepresentation
bin1011111101010100…
…1011111011000001
322021201012000002011
42333111023323001
523033230031423
61250305252521
7142355365513
oct27725137301
98251160064
103210002113
1113a7a6510a
12757034141
133c2061346
1422646dbb3
1513bc26b0d
hexbf54bec1

3210002113 has 2 divisors, whose sum is σ = 3210002114. Its totient is φ = 3210002112.

The previous prime is 3210002111. The next prime is 3210002129. The reversal of 3210002113 is 3112000123.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2335498929 + 874503184 = 48327^2 + 29572^2 .

It is a cyclic number.

It is not a de Polignac number, because 3210002113 - 21 = 3210002111 is a prime.

It is a super-2 number, since 2×32100021132 = 20608227130928929538, which contains 22 as substring.

Together with 3210002111, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 3210002093 and 3210002102.

It is not a weakly prime, because it can be changed into another prime (3210002111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1605001056 + 1605001057.

It is an arithmetic number, because the mean of its divisors is an integer number (1605001057).

Almost surely, 23210002113 is an apocalyptic number.

It is an amenable number.

3210002113 is a deficient number, since it is larger than the sum of its proper divisors (1).

3210002113 is an equidigital number, since it uses as much as digits as its factorization.

3210002113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 3210002113 is about 56656.8805442022. The cubic root of 3210002113 is about 1475.1463400530.

Adding to 3210002113 its reverse (3112000123), we get a palindrome (6322002236).

The spelling of 3210002113 in words is "three billion, two hundred ten million, two thousand, one hundred thirteen".