Search a number
-
+
10200002201 is a prime number
BaseRepresentation
bin10010111111111011…
…11010111010011001
3222022212002210120022
421133331322322121
5131342200032301
64404045240225
7510523405514
oct113775727231
928285083508
1010200002201
1143646a9694
121b87b63075
13c6727577c
146ca945d7b
153ea717d1b
hex25ff7ae99

10200002201 has 2 divisors, whose sum is σ = 10200002202. Its totient is φ = 10200002200.

The previous prime is 10200002167. The next prime is 10200002203. The reversal of 10200002201 is 10220000201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7695500176 + 2504502025 = 87724^2 + 50045^2 .

It is an emirp because it is prime and its reverse (10220000201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10200002201 is a prime.

Together with 10200002203, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (10200002203) 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, 5100001100 + 5100001101.

It is an arithmetic number, because the mean of its divisors is an integer number (5100001101).

Almost surely, 210200002201 is an apocalyptic number.

It is an amenable number.

10200002201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10200002201 is an equidigital number, since it uses as much as digits as its factorization.

10200002201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 8, while the sum is 8.

Adding to 10200002201 its reverse (10220000201), we get a palindrome (20420002402).

It can be divided in two parts, 1020000 and 2201, that added together give a palindrome (1022201).

The spelling of 10200002201 in words is "ten billion, two hundred million, two thousand, two hundred one".