Search a number
-
+
110101032113 is a prime number
BaseRepresentation
bin110011010001010001…
…0000110110010110001
3101112012010111221101012
41212202202012302301
53300441331011423
6122325115120305
710645256221502
oct1464242066261
9345163457335
10110101032113
114276a187026
1219408743095
13a4c8412417
1454867a2ba9
152ce5e03078
hex19a2886cb1

110101032113 has 2 divisors, whose sum is σ = 110101032114. Its totient is φ = 110101032112.

The previous prime is 110101032109. The next prime is 110101032199. The reversal of 110101032113 is 311230101011.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 109013549584 + 1087482529 = 330172^2 + 32977^2 .

It is a cyclic number.

It is not a de Polignac number, because 110101032113 - 22 = 110101032109 is a prime.

It is not a weakly prime, because it can be changed into another prime (110101022113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55050516056 + 55050516057.

It is an arithmetic number, because the mean of its divisors is an integer number (55050516057).

Almost surely, 2110101032113 is an apocalyptic number.

It is an amenable number.

110101032113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110101032113 is an equidigital number, since it uses as much as digits as its factorization.

110101032113 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 110101032113 its reverse (311230101011), we get a palindrome (421331133124).

The spelling of 110101032113 in words is "one hundred ten billion, one hundred one million, thirty-two thousand, one hundred thirteen".