Search a number
-
+
103002082213 is a prime number
BaseRepresentation
bin101111111101101100…
…1110000101110100101
3100211212101120220211211
41133323121300232211
53141422013112323
6115152444031421
710304326152532
oct1377331605645
9324771526754
10103002082213
113a756a98988
1217b67232571
139936772954
144db1a49d89
152a2ca9070d
hex17fb670ba5

103002082213 has 2 divisors, whose sum is σ = 103002082214. Its totient is φ = 103002082212.

The previous prime is 103002082207. The next prime is 103002082219. The reversal of 103002082213 is 312280200301.

It is a balanced prime because it is at equal distance from previous prime (103002082207) and next prime (103002082219).

It can be written as a sum of positive squares in only one way, i.e., 56690181409 + 46311900804 = 238097^2 + 215202^2 .

It is a cyclic number.

It is not a de Polignac number, because 103002082213 - 25 = 103002082181 is a prime.

It is a super-2 number, since 2×1030020822132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (103002082219) 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, 51501041106 + 51501041107.

It is an arithmetic number, because the mean of its divisors is an integer number (51501041107).

Almost surely, 2103002082213 is an apocalyptic number.

It is an amenable number.

103002082213 is a deficient number, since it is larger than the sum of its proper divisors (1).

103002082213 is an equidigital number, since it uses as much as digits as its factorization.

103002082213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 103002082213 its reverse (312280200301), we get a palindrome (415282282514).

The spelling of 103002082213 in words is "one hundred three billion, two million, eighty-two thousand, two hundred thirteen".