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12205484430 = 2351777228953
BaseRepresentation
bin10110101111000000…
…01110100110001110
31011111121202211222220
423113200032212032
5144444101000210
65335045520210
7611314622466
oct132740164616
934447684886
1012205484430
1151a3750117
122447713066
1311c68bc249
1483b02aba6
154b680ec70
hex2d780e98e

12205484430 has 32 divisors (see below), whose sum is σ = 29309775264. Its totient is φ = 3252950016.

The previous prime is 12205484429. The next prime is 12205484453. The reversal of 12205484430 is 3448450221.

12205484430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12205484391 and 12205484400.

It is a congruent number.

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, 61167 + ... + 167786.

It is an arithmetic number, because the mean of its divisors is an integer number (915930477).

Almost surely, 212205484430 is an apocalyptic number.

12205484430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12205484430 is an abundant number, since it is smaller than the sum of its proper divisors (17104290834).

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

12205484430 is a wasteful number, since it uses less digits than its factorization.

12205484430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 230740.

The product of its (nonzero) digits is 30720, while the sum is 33.

The spelling of 12205484430 in words is "twelve billion, two hundred five million, four hundred eighty-four thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 1777 3554 5331 8885 10662 17770 26655 53310 228953 457906 686859 1144765 1373718 2289530 3434295 6868590 406849481 813698962 1220548443 2034247405 2441096886 4068494810 6102742215 12205484430