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12100111112111 = 11194111091273291
BaseRepresentation
bin1011000000010100011011…
…0100110001011110101111
31120211202111112210112012112
42300011012310301132233
53041222011421041421
641422414142354235
72356130014304021
oct260050664613657
946752445715175
1012100111112111
1139456a03010a0
1214350ba88b97b
1369a060233929
142db9116c4011
1515eb41ca745b
hexb0146d317af

12100111112111 has 32 divisors (see below), whose sum is σ = 14246609529600. Its totient is φ = 10157798304000.

The previous prime is 12100111112087. The next prime is 12100111112137. The reversal of 12100111112111 is 11121111100121.

12100111112111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 12100111112111 - 210 = 12100111111087 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12100111112191) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8866376 + ... + 10139666.

It is an arithmetic number, because the mean of its divisors is an integer number (445206547800).

Almost surely, 212100111112111 is an apocalyptic number.

12100111112111 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

12100111112111 is a deficient number, since it is larger than the sum of its proper divisors (2146498417489).

12100111112111 is a wasteful number, since it uses less digits than its factorization.

12100111112111 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1274471.

The product of its (nonzero) digits is 4, while the sum is 14.

Adding to 12100111112111 its reverse (11121111100121), we get a palindrome (23221222212232).

The spelling of 12100111112111 in words is "twelve trillion, one hundred billion, one hundred eleven million, one hundred twelve thousand, one hundred eleven".

Divisors: 1 11 19 41 209 451 779 1109 8569 12199 21071 45469 231781 500159 863911 1273291 9503021 14006201 24192529 52204931 266117819 574254241 991893689 1412079719 10910830579 15532876909 26829514661 57895268479 295124661271 636847953269 1100010101101 12100111112111