Search a number
-
+
10680803201 is a prime number
BaseRepresentation
bin10011111001010000…
…00001111110000001
31000120100211000112202
421330220001332001
5133333241200301
64523502402545
7525452220635
oct117450017601
930510730482
1010680803201
114591042592
1220a0b90455
131012a67bc3
14734740dc5
15427a3c66b
hex27ca01f81

10680803201 has 2 divisors, whose sum is σ = 10680803202. Its totient is φ = 10680803200.

The previous prime is 10680803173. The next prime is 10680803213. The reversal of 10680803201 is 10230808601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7788945025 + 2891858176 = 88255^2 + 53776^2 .

It is a cyclic number.

It is not a de Polignac number, because 10680803201 - 222 = 10676608897 is a prime.

It is a super-2 number, since 2×106808032012 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (10680803261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5340401600 + 5340401601.

It is an arithmetic number, because the mean of its divisors is an integer number (5340401601).

Almost surely, 210680803201 is an apocalyptic number.

It is an amenable number.

10680803201 is a deficient number, since it is larger than the sum of its proper divisors (1).

10680803201 is an equidigital number, since it uses as much as digits as its factorization.

10680803201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2304, while the sum is 29.

The spelling of 10680803201 in words is "ten billion, six hundred eighty million, eight hundred three thousand, two hundred one".