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12030241000 = 235314518291
BaseRepresentation
bin10110011010000111…
…01110100011101000
31011001102000120012111
423031003232203220
5144114220203000
65305425452104
7604056234631
oct131503564350
934042016174
1012030241000
115113837138
1223b8aa1034
1311994c23cb
14821a50888
154a6245cba
hex2cd0ee8e8

12030241000 has 64 divisors (see below), whose sum is σ = 28173562560. Its totient is φ = 4808200000.

The previous prime is 12030240967. The next prime is 12030241019. The reversal of 12030241000 is 14203021.

12030241000 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 15 ways as a sum of consecutive naturals, for example, 1446855 + ... + 1455145.

It is an arithmetic number, because the mean of its divisors is an integer number (440211915).

Almost surely, 212030241000 is an apocalyptic number.

12030241000 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 12030241000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14086781280).

12030241000 is an abundant number, since it is smaller than the sum of its proper divisors (16143321560).

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

12030241000 is a wasteful number, since it uses less digits than its factorization.

12030241000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9763 (or 9749 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 12030241000 its reverse (14203021), we get a palindrome (12044444021).

The spelling of 12030241000 in words is "twelve billion, thirty million, two hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 1000 1451 2902 5804 7255 8291 11608 14510 16582 29020 33164 36275 41455 58040 66328 72550 82910 145100 165820 181375 207275 290200 331640 362750 414550 725500 829100 1036375 1451000 1658200 2072750 4145500 8291000 12030241 24060482 48120964 60151205 96241928 120302410 240604820 300756025 481209640 601512050 1203024100 1503780125 2406048200 3007560250 6015120500 12030241000