Search a number
-
+
100033321011 = 3138928819741
BaseRepresentation
bin101110100101001110…
…0110101100000110011
3100120012111100020002020
41131022130311200303
53114332012233021
6113542113122523
710140630125211
oct1351234654063
9316174306066
10100033321011
1139473224728
1217478b59443
1395826a8210
144bad655cb1
15290711c7c6
hex174a735833

100033321011 has 16 divisors (see below), whose sum is σ = 145251499680. Its totient is φ = 60867290880.

The previous prime is 100033320887. The next prime is 100033321093. The reversal of 100033321011 is 110123330001.

It is not a de Polignac number, because 100033321011 - 234 = 82853451827 is a prime.

It is not an unprimeable number, because it can be changed into a prime (100033321111) 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, 14406400 + ... + 14413341.

It is an arithmetic number, because the mean of its divisors is an integer number (9078218730).

Almost surely, 2100033321011 is an apocalyptic number.

100033321011 is a deficient number, since it is larger than the sum of its proper divisors (45218178669).

100033321011 is a wasteful number, since it uses less digits than its factorization.

100033321011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28819846.

The product of its (nonzero) digits is 54, while the sum is 15.

Adding to 100033321011 its reverse (110123330001), we get a palindrome (210156651012).

The spelling of 100033321011 in words is "one hundred billion, thirty-three million, three hundred twenty-one thousand, eleven".

Divisors: 1 3 13 39 89 267 1157 3471 28819741 86459223 374656633 1123969899 2564956949 7694870847 33344440337 100033321011