Search a number
-
+
102211022993 is a prime number
BaseRepresentation
bin101111100110001000…
…0000111000010010001
3100202211021001221121012
41133030100013002101
53133312010213433
6114542144540305
710245612234452
oct1371420070221
9322737057535
10102211022993
113a390504432
1217986321695
13983b900481
144d3896b129
1529d33d2848
hex17cc407091

102211022993 has 2 divisors, whose sum is σ = 102211022994. Its totient is φ = 102211022992.

The previous prime is 102211022959. The next prime is 102211023007. The reversal of 102211022993 is 399220112201.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 94686674944 + 7524348049 = 307712^2 + 86743^2 .

It is an emirp because it is prime and its reverse (399220112201) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102211022993 is a prime.

It is not a weakly prime, because it can be changed into another prime (102211021993) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51105511496 + 51105511497.

It is an arithmetic number, because the mean of its divisors is an integer number (51105511497).

Almost surely, 2102211022993 is an apocalyptic number.

It is an amenable number.

102211022993 is a deficient number, since it is larger than the sum of its proper divisors (1).

102211022993 is an equidigital number, since it uses as much as digits as its factorization.

102211022993 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3888, while the sum is 32.

The spelling of 102211022993 in words is "one hundred two billion, two hundred eleven million, twenty-two thousand, nine hundred ninety-three".