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12300022300 = 22522913132377
BaseRepresentation
bin10110111010010001…
…10111001000011100
31011202012122212120111
423131020313020130
5200142301203200
65352304055404
7613543315216
oct133510671034
934665585514
1012300022300
115242050895
122473304564
13121036c807
148497d95b6
154bec860ba
hex2dd23721c

12300022300 has 72 divisors (see below), whose sum is σ = 27823062960. Its totient is φ = 4713945600.

The previous prime is 12300022289. The next prime is 12300022307. The reversal of 12300022300 is 322000321.

It is a happy number.

12300022300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12300022307) by changing a digit.

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, 363712 + ... + 396088.

It is an arithmetic number, because the mean of its divisors is an integer number (386431430).

Almost surely, 212300022300 is an apocalyptic number.

12300022300 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 12300022300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13911531480).

12300022300 is an abundant number, since it is smaller than the sum of its proper divisors (15523040660).

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

12300022300 is a wasteful number, since it uses less digits than its factorization.

12300022300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32551 (or 32544 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

Adding to 12300022300 its reverse (322000321), we get a palindrome (12622022621).

The spelling of 12300022300 in words is "twelve billion, three hundred million, twenty-two thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 131 145 262 290 524 580 655 725 1310 1450 2620 2900 3275 3799 6550 7598 13100 15196 18995 32377 37990 64754 75980 94975 129508 161885 189950 323770 379900 647540 809425 938933 1618850 1877866 3237700 3755732 4241387 4694665 8482774 9389330 16965548 18778660 21206935 23473325 42413870 46946650 84827740 93893300 106034675 123000223 212069350 246000446 424138700 492000892 615001115 1230002230 2460004460 3075005575 6150011150 12300022300