Search a number
-
+
110309891249 is a prime number
BaseRepresentation
bin110011010111011111…
…0110101110010110001
3101112201200112002020202
41212232332311302301
53301403313004444
6122401535444545
710653403414325
oct1465676656261
9345650462222
10110309891249
114286706aa88
1219466686755
13a52c77bbcc
1454a640d985
152d0940c34e
hex19aefb5cb1

110309891249 has 2 divisors, whose sum is σ = 110309891250. Its totient is φ = 110309891248.

The previous prime is 110309891239. The next prime is 110309891323. The reversal of 110309891249 is 942198903011.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79216917025 + 31092974224 = 281455^2 + 176332^2 .

It is a cyclic number.

It is not a de Polignac number, because 110309891249 - 24 = 110309891233 is a prime.

It is a super-3 number, since 3×1103098912493 (a number of 34 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (110309891239) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 55154945624 + 55154945625.

It is an arithmetic number, because the mean of its divisors is an integer number (55154945625).

Almost surely, 2110309891249 is an apocalyptic number.

It is an amenable number.

110309891249 is a deficient number, since it is larger than the sum of its proper divisors (1).

110309891249 is an equidigital number, since it uses as much as digits as its factorization.

110309891249 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 139968, while the sum is 47.

The spelling of 110309891249 in words is "one hundred ten billion, three hundred nine million, eight hundred ninety-one thousand, two hundred forty-nine".