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12002424100 = 22523313491039
BaseRepresentation
bin10110010110110011…
…00111010100100100
31010222110200022120221
423023121213110210
5144040110032400
65302553334124
7603300631042
oct131331472444
933873608527
1012002424100
1150aa067967
1223ab707344
131193802cc4
1481c08d392
154a3a9dc1a
hex2cb667524

12002424100 has 72 divisors (see below), whose sum is σ = 26224016000. Its totient is φ = 4768156800.

The previous prime is 12002424079. The next prime is 12002424131. The reversal of 12002424100 is 142420021.

12002424100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 11551381 + ... + 11552419.

Almost surely, 212002424100 is an apocalyptic number.

12002424100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12002424100 is an abundant number, since it is smaller than the sum of its proper divisors (14221591900).

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

12002424100 is a wasteful number, since it uses less digits than its factorization.

12002424100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1733 (or 1726 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 12002424100 its reverse (142420021), we get a palindrome (12144844121).

The spelling of 12002424100 in words is "twelve billion, two million, four hundred twenty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 331 349 662 698 1039 1324 1396 1655 1745 2078 3310 3490 4156 5195 6620 6980 8275 8725 10390 16550 17450 20780 25975 33100 34900 51950 103900 115519 231038 343909 362611 462076 577595 687818 725222 1155190 1375636 1450444 1719545 1813055 2310380 2887975 3439090 3626110 5775950 6878180 7252220 8597725 9065275 11551900 17195450 18130550 34390900 36261100 120024241 240048482 480096964 600121205 1200242410 2400484820 3000606025 6001212050 12002424100