Search a number
-
+
10020201313 is a prime number
BaseRepresentation
bin10010101010100000…
…00010001101100001
3221212022202222010011
421111100002031201
5131010132420223
64334143404521
7503211206623
oct112520021541
927768688104
1010020201313
114282162611
121b378b3741
13c38c41405
146b0b00c13
153d9a4d80d
hex255402361

10020201313 has 2 divisors, whose sum is σ = 10020201314. Its totient is φ = 10020201312.

The previous prime is 10020201293. The next prime is 10020201341. The reversal of 10020201313 is 31310202001.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9710722849 + 309478464 = 98543^2 + 17592^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10020201313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10020201293 and 10020201302.

It is not a weakly prime, because it can be changed into another prime (10020201343) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5010100656 + 5010100657.

It is an arithmetic number, because the mean of its divisors is an integer number (5010100657).

Almost surely, 210020201313 is an apocalyptic number.

It is an amenable number.

10020201313 is a deficient number, since it is larger than the sum of its proper divisors (1).

10020201313 is an equidigital number, since it uses as much as digits as its factorization.

10020201313 is an evil number, because the sum of its binary digits is even.

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

Adding to 10020201313 its reverse (31310202001), we get a palindrome (41330403314).

The spelling of 10020201313 in words is "ten billion, twenty million, two hundred one thousand, three hundred thirteen".