Search a number
-
+
102221102219 is a prime number
BaseRepresentation
bin101111100110011011…
…0100011110010001011
3100202211222001000200212
41133030312203302023
53133322100232334
6114543144551335
710246064014115
oct1371466436213
9322758030625
10102221102219
113a396169075
121798978254b
139840a1c102
144d3a0323b5
1529d4223ece
hex17ccda3c8b

102221102219 has 2 divisors, whose sum is σ = 102221102220. Its totient is φ = 102221102218.

The previous prime is 102221102201. The next prime is 102221102233. The reversal of 102221102219 is 912201122201.

It is a strong prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-102221102219 is a prime.

It is a super-3 number, since 3×1022211022193 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 102221102194 and 102221102203.

It is not a weakly prime, because it can be changed into another prime (102221102299) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110551109 + 51110551110.

It is an arithmetic number, because the mean of its divisors is an integer number (51110551110).

Almost surely, 2102221102219 is an apocalyptic number.

102221102219 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221102219 is an equidigital number, since it uses as much as digits as its factorization.

102221102219 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 288, while the sum is 23.

The spelling of 102221102219 in words is "one hundred two billion, two hundred twenty-one million, one hundred two thousand, two hundred nineteen".