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111001000006 = 21327128355667
BaseRepresentation
bin110011101100000101…
…1001101100001000110
3101121111211222001020101
41213120023031201012
53304312224000011
6122554304354314
711006464634551
oct1473013154106
9347454861211
10111001000006
1143091197246
121961a01599a
13a60c9c72c0
145530111698
152d49e252c1
hex19d82cd846

111001000006 has 32 divisors (see below), whose sum is σ = 180610149888. Its totient is φ = 50860910880.

The previous prime is 111001000001. The next prime is 111001000007. The reversal of 111001000006 is 600000100111.

It is a junction number, because it is equal to n+sod(n) for n = 111000999956 and 111001000001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111001000001) 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, 1966185 + ... + 2021851.

It is an arithmetic number, because the mean of its divisors is an integer number (5644067184).

Almost surely, 2111001000006 is an apocalyptic number.

111001000006 is a deficient number, since it is larger than the sum of its proper divisors (69609149882).

111001000006 is a wasteful number, since it uses less digits than its factorization.

111001000006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56236.

The product of its (nonzero) digits is 6, while the sum is 10.

Adding to 111001000006 its reverse (600000100111), we get a palindrome (711001100117).

The spelling of 111001000006 in words is "one hundred eleven billion, one million, six", and thus it is an aban number.

Divisors: 1 2 13 26 271 283 542 566 3523 3679 7046 7358 55667 76693 111334 153386 723671 997009 1447342 1994018 15085757 15753761 30171514 31507522 196114841 204798893 392229682 409597786 4269269231 8538538462 55500500003 111001000006