Search a number
-
+
210003121313 is a prime number
BaseRepresentation
bin1100001110010100101…
…0010101010010100001
3202002001110220220020222
43003211022111102201
511420041244340223
6240250223412425
721113034035666
oct3034512252241
9662043826228
10210003121313
1181075318307
1234849754115
1316a5986027b
14a242817a6d
1556e174c0c8
hex30e52954a1

210003121313 has 2 divisors, whose sum is σ = 210003121314. Its totient is φ = 210003121312.

The previous prime is 210003121301. The next prime is 210003121319. The reversal of 210003121313 is 313121300012.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 208655276944 + 1347844369 = 456788^2 + 36713^2 .

It is a cyclic number.

It is not a de Polignac number, because 210003121313 - 24 = 210003121297 is a prime.

It is a super-2 number, since 2×2100031213132 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 210003121291 and 210003121300.

It is not a weakly prime, because it can be changed into another prime (210003121319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105001560656 + 105001560657.

It is an arithmetic number, because the mean of its divisors is an integer number (105001560657).

Almost surely, 2210003121313 is an apocalyptic number.

It is an amenable number.

210003121313 is a deficient number, since it is larger than the sum of its proper divisors (1).

210003121313 is an equidigital number, since it uses as much as digits as its factorization.

210003121313 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 210003121313 its reverse (313121300012), we get a palindrome (523124421325).

The spelling of 210003121313 in words is "two hundred ten billion, three million, one hundred twenty-one thousand, three hundred thirteen".