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12303002200 = 2352433142067
BaseRepresentation
bin10110111010101000…
…01110101001011000
31011202102021021020011
423131110032221120
5200144032032300
65352452011304
7613610536036
oct133524165130
934672237204
1012303002200
1152437a6715
122474300b34
131210b73c78
14849d73556
154c0173eba
hex2dd50ea58

12303002200 has 48 divisors (see below), whose sum is σ = 28670743080. Its totient is φ = 4909800960.

The previous prime is 12303002161. The next prime is 12303002207. The reversal of 12303002200 is 220030321.

It is a happy number.

12303002200 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 (12303002207) 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 11 ways as a sum of consecutive naturals, for example, 15567 + ... + 157633.

Almost surely, 212303002200 is an apocalyptic number.

12303002200 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 12303002200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14335371540).

12303002200 is an abundant number, since it is smaller than the sum of its proper divisors (16367740880).

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

12303002200 is a wasteful number, since it uses less digits than its factorization.

12303002200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142516 (or 142507 counting only the distinct ones).

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

Adding to 12303002200 its reverse (220030321), we get a palindrome (12523032521).

The spelling of 12303002200 in words is "twelve billion, three hundred three million, two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 433 866 1732 2165 3464 4330 8660 10825 17320 21650 43300 86600 142067 284134 568268 710335 1136536 1420670 2841340 3551675 5682680 7103350 14206700 28413400 61515011 123030022 246060044 307575055 492120088 615150110 1230300220 1537875275 2460600440 3075750550 6151501100 12303002200