Search a number
-
+
100303411441 = 1753191582851
BaseRepresentation
bin101110101101010001…
…1001001100011110001
3100120220022120020111111
41131122203021203301
53120410133131231
6114025002113321
710150416633652
oct1353243114361
9316808506444
10100303411441
11395a172a662
12175334ab841
1395c663323c
144bd7481529
152920bbe4b1
hex175a8c98f1

100303411441 has 16 divisors (see below), whose sum is σ = 108774171648. Its totient is φ = 92136928000.

The previous prime is 100303411433. The next prime is 100303411451. The reversal of 100303411441 is 144114303001.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 100303411441 - 23 = 100303411433 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (100303411451) 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 in 15 ways as a sum of consecutive naturals, for example, 119335 + ... + 463516.

It is an arithmetic number, because the mean of its divisors is an integer number (6798385728).

Almost surely, 2100303411441 is an apocalyptic number.

It is an amenable number.

100303411441 is a deficient number, since it is larger than the sum of its proper divisors (8470760207).

100303411441 is a wasteful number, since it uses less digits than its factorization.

100303411441 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583112.

The product of its (nonzero) digits is 576, while the sum is 22.

Adding to 100303411441 its reverse (144114303001), we get a palindrome (244417714442).

The spelling of 100303411441 in words is "one hundred billion, three hundred three million, four hundred eleven thousand, four hundred forty-one".

Divisors: 1 17 53 191 901 3247 10123 172091 582851 9908467 30891103 111324541 525148751 1892517197 5900200673 100303411441