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12014100 = 22325271907
BaseRepresentation
bin101101110101…
…001000010100
3211121101020200
4231311020110
511033422400
61105300500
7204055350
oct55651024
924541220
1012014100
11686640a
124034730
132648547
14184a460
1510c4b00
hexb75214

12014100 has 108 divisors (see below), whose sum is σ = 43059744. Its totient is φ = 2744640.

The previous prime is 12014063. The next prime is 12014117. The reversal of 12014100 is 141021.

It is a happy number.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 5347 + ... + 7253.

Almost surely, 212014100 is an apocalyptic number.

12014100 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 12014100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21529872).

12014100 is an abundant number, since it is smaller than the sum of its proper divisors (31045644).

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

12014100 is a wasteful number, since it uses less digits than its factorization.

12014100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 1924 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

The square root of 12014100 is about 3466.1361773595. The cubic root of 12014100 is about 229.0324826954.

Adding to 12014100 its reverse (141021), we get a palindrome (12155121).

The spelling of 12014100 in words is "twelve million, fourteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 1907 2100 3150 3814 5721 6300 7628 9535 11442 13349 17163 19070 22884 26698 28605 34326 38140 40047 47675 53396 57210 66745 68652 80094 85815 95350 114420 120141 133490 143025 160188 171630 190700 200235 240282 266980 286050 333725 343260 400470 429075 480564 572100 600705 667450 800940 858150 1001175 1201410 1334900 1716300 2002350 2402820 3003525 4004700 6007050 12014100