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111314441225 = 52131971738609
BaseRepresentation
bin110011110101011011…
…0111001010000001001
3101122022200202111202102
41213222312321100021
53310432444104400
6123045342443145
711020322065421
oct1475266712011
9348280674672
10111314441225
1143232111279
12196a6b934b5
13a65c920090
14555d9c3481
152d676db9d5
hex19eadb9409

111314441225 has 24 divisors (see below), whose sum is σ = 149402234520. Its totient is φ = 81784120320.

The previous prime is 111314441191. The next prime is 111314441297. The reversal of 111314441225 is 522144413111.

It can be written as a sum of positive squares in 12 ways, for example, as 9835878976 + 101478562249 = 99176^2 + 318557^2 .

It is not a de Polignac number, because 111314441225 - 222 = 111310246921 is a prime.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 805280 + ... + 933329.

It is an arithmetic number, because the mean of its divisors is an integer number (6225093105).

Almost surely, 2111314441225 is an apocalyptic number.

It is an amenable number.

111314441225 is a deficient number, since it is larger than the sum of its proper divisors (38087793295).

111314441225 is a wasteful number, since it uses less digits than its factorization.

111314441225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1738829 (or 1738824 counting only the distinct ones).

The product of its digits is 3840, while the sum is 29.

Adding to 111314441225 its reverse (522144413111), we get a palindrome (633458854336).

The spelling of 111314441225 in words is "one hundred eleven billion, three hundred fourteen million, four hundred forty-one thousand, two hundred twenty-five".

Divisors: 1 5 13 25 65 197 325 985 2561 4925 12805 64025 1738609 8693045 22601917 43465225 113009585 342505973 565047925 1712529865 4452577649 8562649325 22262888245 111314441225