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101044540096 = 266178093163
BaseRepresentation
bin101111000011010111…
…0010101001011000000
3100122210222010110212221
41132012232111023000
53123414400240341
6114230315100424
710204656263623
oct1360656251300
9318728113787
10101044540096
1139942010585
12176bb741714
1396b4042ac6
144c67a83dba
152965cb7ed1
hex1786b952c0

101044540096 has 56 divisors (see below), whose sum is σ = 201147060240. Its totient is φ = 50362109952.

The previous prime is 101044540087. The next prime is 101044540099. The reversal of 101044540096 is 690045440101.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (101044540099) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31944211 + ... + 31947373.

It is an arithmetic number, because the mean of its divisors is an integer number (3591911790).

Almost surely, 2101044540096 is an apocalyptic number.

101044540096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

101044540096 is a deficient number, since it is larger than the sum of its proper divisors (100102520144).

101044540096 is an equidigital number, since it uses as much as digits as its factorization.

101044540096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4601 (or 4591 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

Adding to 101044540096 its reverse (690045440101), we get a palindrome (791089980197).

The spelling of 101044540096 in words is "one hundred one billion, forty-four million, five hundred forty thousand, ninety-six".

Divisors: 1 2 4 8 16 32 64 617 809 1234 1618 2468 3163 3236 4936 6326 6472 9872 12652 12944 19744 25304 25888 39488 50608 51776 101216 202432 499153 998306 1951571 1996612 2558867 3903142 3993224 5117734 7806284 7986448 10235468 15612568 15972896 20470936 31225136 31945792 40941872 62450272 81883744 124900544 163767488 1578820939 3157641878 6315283756 12630567512 25261135024 50522270048 101044540096