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12110112210100 = 22521049115444349
BaseRepresentation
bin1011000000111001101011…
…1011111011110010110100
31120212201022112121221111011
42300032122323323302310
53041403002211210400
641431150404522004
72356632604241062
oct260163273736264
946781275557434
1012110112210100
1139499626a6033
1214370300b0304
1369ac95216aa8
142dc1bda51032
15160029cd08ba
hexb039aefbcb4

12110112210100 has 36 divisors (see below), whose sum is σ = 26303995147500. Its totient is φ = 4839427068160.

The previous prime is 12110112210089. The next prime is 12110112210149. The reversal of 12110112210100 is 101221101121.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 2342947216 + 12107769262884 = 48404^2 + 3479622^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 57617275 + ... + 57827074.

It is an arithmetic number, because the mean of its divisors is an integer number (730666531875).

Almost surely, 212110112210100 is an apocalyptic number.

12110112210100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12110112210100 is an abundant number, since it is smaller than the sum of its proper divisors (14193882937400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12110112210100 is a wasteful number, since it uses less digits than its factorization.

12110112210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115445412 (or 115445405 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 12110112210100 its reverse (101221101121), we get a palindrome (12211333311221).

The spelling of 12110112210100 in words is "twelve trillion, one hundred ten billion, one hundred twelve million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 1049 2098 4196 5245 10490 20980 26225 52450 104900 115444349 230888698 461777396 577221745 1154443490 2308886980 2886108725 5772217450 11544434900 121101122101 242202244202 484404488404 605505610505 1211011221010 2422022442020 3027528052525 6055056105050 12110112210100