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12200330333 = 31220296257
BaseRepresentation
bin10110101110011001…
…00100010001011101
31011111021001222220102
423113030210101131
5144441241032313
65334343230445
7611223045122
oct132714442135
934437058812
1012200330333
1151a084a834
122445a48425
1311c5806299
1483a488749
154b6142a58
hex2d732445d

12200330333 has 12 divisors (see below), whose sum is σ = 12614813820. Its totient is φ = 11799066240.

The previous prime is 12200330291. The next prime is 12200330357. The reversal of 12200330333 is 33303300221.

12200330333 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 12090541849 + 109788484 = 109957^2 + 10478^2 .

It is a de Polignac number, because none of the positive numbers 2k-12200330333 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12200350333) 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, 1946741 + ... + 1952997.

It is an arithmetic number, because the mean of its divisors is an integer number (1051234485).

Almost surely, 212200330333 is an apocalyptic number.

It is an amenable number.

12200330333 is a deficient number, since it is larger than the sum of its proper divisors (414483487).

12200330333 is an equidigital number, since it uses as much as digits as its factorization.

12200330333 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348 (or 8317 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 20.

Adding to 12200330333 its reverse (33303300221), we get a palindrome (45503630554).

The spelling of 12200330333 in words is "twelve billion, two hundred million, three hundred thirty thousand, three hundred thirty-three".

Divisors: 1 31 961 2029 6257 62899 193967 1949869 6012977 12695453 393559043 12200330333