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12110000100111 = 3237241383393989
BaseRepresentation
bin1011000000111001010001…
…0000010001001100001111
31120212201000201200011111100
42300032110100101030033
53041402240011200421
641431131321554143
72356630043310564
oct260162420211417
946781021604440
1012110000100111
113949905393151
121436bba645953
1369ac77c23214
142dc1acbca86b
15160020037c26
hexb039441130f

12110000100111 has 48 divisors (see below), whose sum is σ = 18086675143680. Its totient is φ = 7802097085440.

The previous prime is 12110000100083. The next prime is 12110000100161. The reversal of 12110000100111 is 11100100001121.

It is not a de Polignac number, because 12110000100111 - 239 = 11560244286223 is a prime.

It is a super-3 number, since 3×121100001001113 (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 12110000100093 and 12110000100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12110000100161) 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 47 ways as a sum of consecutive naturals, for example, 30539905 + ... + 30933893.

It is an arithmetic number, because the mean of its divisors is an integer number (376805732160).

Almost surely, 212110000100111 is an apocalyptic number.

12110000100111 is a deficient number, since it is larger than the sum of its proper divisors (5976675043569).

12110000100111 is a wasteful number, since it uses less digits than its factorization.

12110000100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394656 (or 394653 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 12110000100111 its reverse (11100100001121), we get a palindrome (23210100101232).

The spelling of 12110000100111 in words is "twelve trillion, one hundred ten billion, one hundred thousand, one hundred eleven".

Divisors: 1 3 9 37 111 241 333 383 723 1149 2169 3447 8917 14171 26751 42513 80253 92303 127539 276909 393989 830727 1181967 3415211 3545901 10245633 14577593 30736899 43732779 94951349 131198337 150897787 284854047 452693361 854562141 1358080083 3513199913 5583218119 10539599739 16749654357 31618799217 36366366667 50248963071 109099100001 327297300003 1345555566679 4036666700037 12110000100111