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12014311100 = 22521119795519
BaseRepresentation
bin10110011000001101…
…11101011010111100
31011000022001020111012
423030012331122330
5144101130423400
65304100214352
7603503650031
oct131406753274
934008036435
1012014311100
115105846830
1223b369a3b8
13119610572c
1481d8a5388
154a4b4ad35
hex2cc1bd6bc

12014311100 has 72 divisors (see below), whose sum is σ = 28460678400. Its totient is φ = 4365841600.

The previous prime is 12014311013. The next prime is 12014311117. The reversal of 12014311100 is 111341021.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 2174141 + ... + 2179659.

It is an arithmetic number, because the mean of its divisors is an integer number (395287200).

Almost surely, 212014311100 is an apocalyptic number.

12014311100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12014311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14230339200).

12014311100 is an abundant number, since it is smaller than the sum of its proper divisors (16446367300).

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

12014311100 is a wasteful number, since it uses less digits than its factorization.

12014311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7523 (or 7516 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 12014311100 its reverse (111341021), we get a palindrome (12125652121).

The spelling of 12014311100 in words is "twelve billion, fourteen million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 1979 3958 5519 7916 9895 11038 19790 21769 22076 27595 39580 43538 49475 55190 60709 87076 98950 108845 110380 121418 137975 197900 217690 242836 275950 303545 435380 544225 551900 607090 1088450 1214180 1517725 2176900 3035450 6070900 10922101 21844202 43688404 54610505 109221010 120143111 218442020 240286222 273052525 480572444 546105050 600715555 1092210100 1201431110 2402862220 3003577775 6007155550 12014311100