Search a number
-
+
10200515317 is a prime number
BaseRepresentation
bin10010111111111111…
…11000001011110101
3222022220001212102121
421133333320023311
5131342312442232
64404104235541
7510530643466
oct113777701365
928286055377
1010200515317
114364a1a153
121b8816bbb1
13c673c51a5
146caa3ad6d
153ea7b9d97
hex25fff82f5

10200515317 has 2 divisors, whose sum is σ = 10200515318. Its totient is φ = 10200515316.

The previous prime is 10200515293. The next prime is 10200515363. The reversal of 10200515317 is 71351500201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 9981208836 + 219306481 = 99906^2 + 14809^2 .

It is a cyclic number.

It is not a de Polignac number, because 10200515317 - 27 = 10200515189 is a prime.

It is a super-2 number, since 2×102005153172 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10200515291 and 10200515300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10200510317) 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, 5100257658 + 5100257659.

It is an arithmetic number, because the mean of its divisors is an integer number (5100257659).

Almost surely, 210200515317 is an apocalyptic number.

It is an amenable number.

10200515317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200515317 is an equidigital number, since it uses as much as digits as its factorization.

10200515317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1050, while the sum is 25.

The spelling of 10200515317 in words is "ten billion, two hundred million, five hundred fifteen thousand, three hundred seventeen".