Search a number
-
+
102221103113 is a prime number
BaseRepresentation
bin101111100110011011…
…0100100000000001001
3100202211222001001220222
41133030312210000021
53133322100244423
6114543144555425
710246064016533
oct1371466440011
9322758031828
10102221103113
113a396169808
1217989782b75
139840a1c63c
144d3a032853
1529d42243c8
hex17ccda4009

102221103113 has 2 divisors, whose sum is σ = 102221103114. Its totient is φ = 102221103112.

The previous prime is 102221103097. The next prime is 102221103133. The reversal of 102221103113 is 311301122201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85060889104 + 17160214009 = 291652^2 + 130997^2 .

It is a cyclic number.

It is not a de Polignac number, because 102221103113 - 24 = 102221103097 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 102221103091 and 102221103100.

It is not a weakly prime, because it can be changed into another prime (102221103133) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 51110551556 + 51110551557.

It is an arithmetic number, because the mean of its divisors is an integer number (51110551557).

Almost surely, 2102221103113 is an apocalyptic number.

It is an amenable number.

102221103113 is a deficient number, since it is larger than the sum of its proper divisors (1).

102221103113 is an equidigital number, since it uses as much as digits as its factorization.

102221103113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 72, while the sum is 17.

Adding to 102221103113 its reverse (311301122201), we get a palindrome (413522225314).

The spelling of 102221103113 in words is "one hundred two billion, two hundred twenty-one million, one hundred three thousand, one hundred thirteen".