Search a number
-
+
110010113 is a prime number
BaseRepresentation
bin1101000111010…
…01111100000001
321200000002111122
412203221330001
5211130310423
614525522025
72504033123
oct643517401
9250002448
10110010113
1157109254
1230a13315
1319a39b55
1410879213
1599d08c8
hex68e9f01

110010113 has 2 divisors, whose sum is σ = 110010114. Its totient is φ = 110010112.

The previous prime is 110010101. The next prime is 110010143. The reversal of 110010113 is 311010011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 62220544 + 47789569 = 7888^2 + 6913^2 .

It is a cyclic number.

It is not a de Polignac number, because 110010113 - 24 = 110010097 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 110010113.

It is not a weakly prime, because it can be changed into another prime (110010143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55005056 + 55005057.

It is an arithmetic number, because the mean of its divisors is an integer number (55005057).

Almost surely, 2110010113 is an apocalyptic number.

It is an amenable number.

110010113 is a deficient number, since it is larger than the sum of its proper divisors (1).

110010113 is an equidigital number, since it uses as much as digits as its factorization.

110010113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3, while the sum is 8.

The square root of 110010113 is about 10488.5705889792. The cubic root of 110010113 is about 479.1566687803.

Adding to 110010113 its reverse (311010011), we get a palindrome (421020124).

The spelling of 110010113 in words is "one hundred ten million, ten thousand, one hundred thirteen".