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12113100 = 22325243313
BaseRepresentation
bin101110001101…
…010011001100
3211210102001100
4232031103030
511100104400
61111343100
7204650106
oct56152314
924712040
1012113100
11692382a
124081a90
13268161c
141874576
1510e4100
hexb8d4cc

12113100 has 108 divisors (see below), whose sum is σ = 38974936. Its totient is φ = 3144960.

The previous prime is 12113093. The next prime is 12113117. The reversal of 12113100 is 131121.

12113100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×121131002 = 293454383220000, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 38544 + ... + 38856.

Almost surely, 212113100 is an apocalyptic number.

12113100 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 12113100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19487468).

12113100 is an abundant number, since it is smaller than the sum of its proper divisors (26861836).

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

12113100 is a wasteful number, since it uses less digits than its factorization.

12113100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 376 (or 366 counting only the distinct ones).

The product of its (nonzero) digits is 6, while the sum is 9.

The square root of 12113100 is about 3480.3879094147. The cubic root of 12113100 is about 229.6598627027.

Adding to 12113100 its reverse (131121), we get a palindrome (12244221).

The spelling of 12113100 in words is "twelve million, one hundred thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 129 150 172 180 215 225 258 300 313 387 430 450 516 626 645 774 860 900 939 1075 1252 1290 1548 1565 1878 1935 2150 2580 2817 3130 3225 3756 3870 4300 4695 5634 6260 6450 7740 7825 9390 9675 11268 12900 13459 14085 15650 18780 19350 23475 26918 28170 31300 38700 40377 46950 53836 56340 67295 70425 80754 93900 121131 134590 140850 161508 201885 242262 269180 281700 336475 403770 484524 605655 672950 807540 1009425 1211310 1345900 2018850 2422620 3028275 4037700 6056550 12113100