Search a number
-
+
111021102113 is a prime number
BaseRepresentation
bin110011101100101011…
…1111001010000100001
3101121120020210100010212
41213121113321100201
53304332400231423
6123000303303505
711010130540355
oct1473127712041
9347506710125
10111021102113
11430a1577259
12196248aab95
13a613c1503c
145532a65465
152d4ba96578
hex19d95f9421

111021102113 has 2 divisors, whose sum is σ = 111021102114. Its totient is φ = 111021102112.

The previous prime is 111021102109. The next prime is 111021102131. The reversal of 111021102113 is 311201120111.

Together with next prime (111021102131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 67014712384 + 44006389729 = 258872^2 + 209777^2 .

It is a cyclic number.

It is not a de Polignac number, because 111021102113 - 22 = 111021102109 is a prime.

It is a super-2 number, since 2×1110211021132 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (111021102013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55510551056 + 55510551057.

It is an arithmetic number, because the mean of its divisors is an integer number (55510551057).

Almost surely, 2111021102113 is an apocalyptic number.

It is an amenable number.

111021102113 is a deficient number, since it is larger than the sum of its proper divisors (1).

111021102113 is an equidigital number, since it uses as much as digits as its factorization.

111021102113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 14.

Adding to 111021102113 its reverse (311201120111), we get a palindrome (422222222224).

The spelling of 111021102113 in words is "one hundred eleven billion, twenty-one million, one hundred two thousand, one hundred thirteen".