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16000111127 = 71113315091013
BaseRepresentation
bin11101110011010111…
…00101001000010111
31112022002000212020102
432321223211020113
5230232012024002
611203401524315
71104332462210
oct167153451027
945262025212
1016000111127
116870711340
1231264a369b
13167cac49a0
14abada0407
15639a18a02
hex3b9ae5217

16000111127 has 64 divisors (see below), whose sum is σ = 22241157120. Its totient is φ = 11104473600.

The previous prime is 16000111097. The next prime is 16000111163. The reversal of 16000111127 is 72111100061.

It is a happy number.

It is not a de Polignac number, because 16000111127 - 26 = 16000111063 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 16000111099 and 16000111108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16000111177) 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 63 ways as a sum of consecutive naturals, for example, 15794273 + ... + 15795285.

It is an arithmetic number, because the mean of its divisors is an integer number (347518080).

Almost surely, 216000111127 is an apocalyptic number.

16000111127 is a deficient number, since it is larger than the sum of its proper divisors (6241045993).

16000111127 is a wasteful number, since it uses less digits than its factorization.

16000111127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1584.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 16000111127 its reverse (72111100061), we get a palindrome (88111211188).

The spelling of 16000111127 in words is "sixteen billion, one hundred eleven thousand, one hundred twenty-seven".

Divisors: 1 7 11 13 31 77 91 143 217 341 403 509 1001 1013 2387 2821 3563 4433 5599 6617 7091 11143 13169 15779 31031 31403 39193 46319 72787 78001 92183 110453 144859 173569 205127 219821 345433 408239 509509 515617 1014013 1214983 1435889 2256397 2418031 2857673 3609319 4490629 5671787 6703021 15794779 15984127 31434403 39702509 46921147 73733231 111888889 175825397 207793651 516132617 1230777779 1454555557 2285730161 16000111127