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1100414013 = 31923898081
BaseRepresentation
bin100000110010110…
…1111110000111101
32211200121211020120
41001211233300331
54223201222023
6301105405153
736161236056
oct10145576075
92750554216
101100414013
11515178376
122686397b9
13146c9726a
14a620972d
15669188e3
hex4196fc3d

1100414013 has 16 divisors (see below), whose sum is σ = 1545278400. Its totient is φ = 694621440.

The previous prime is 1100413997. The next prime is 1100414023. The reversal of 1100414013 is 3104140011.

It is not a de Polignac number, because 1100414013 - 24 = 1100413997 is a prime.

It is a super-2 number, since 2×11004140132 = 2421822000013528338, which contains 22 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1100413983 and 1100414001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1100414023) 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 15 ways as a sum of consecutive naturals, for example, 132133 + ... + 140213.

It is an arithmetic number, because the mean of its divisors is an integer number (96579900).

Almost surely, 21100414013 is an apocalyptic number.

It is an amenable number.

1100414013 is a deficient number, since it is larger than the sum of its proper divisors (444864387).

1100414013 is a wasteful number, since it uses less digits than its factorization.

1100414013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10492.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 1100414013 is about 33172.4887971946. The cubic root of 1100414013 is about 1032.4096075111.

Adding to 1100414013 its reverse (3104140011), we get a palindrome (4204554024).

The spelling of 1100414013 in words is "one billion, one hundred million, four hundred fourteen thousand, thirteen".

Divisors: 1 3 19 57 2389 7167 8081 24243 45391 136173 153539 460617 19305509 57916527 366804671 1100414013