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12103323121 = 73319738369
BaseRepresentation
bin10110100010110101…
…00000110111110001
31011020111112112000201
423101122200313301
5144241422314441
65321000115201
7605634356221
oct132132406761
934214475021
1012103323121
11515101288a
122419465b01
1311ab69ca76
1482b636081
154ac87ec31
hex2d16a0df1

12103323121 has 8 divisors (see below), whose sum is σ = 12127426920. Its totient is φ = 12079241472.

The previous prime is 12103323109. The next prime is 12103323137. The reversal of 12103323121 is 12132330121.

12103323121 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 4 ways, for example, as 4735504225 + 7367818896 = 68815^2 + 85836^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 12103323121 - 219 = 12102798833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (12103323151) 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 7 ways as a sum of consecutive naturals, for example, 1442025 + ... + 1450393.

It is an arithmetic number, because the mean of its divisors is an integer number (1515928365).

Almost surely, 212103323121 is an apocalyptic number.

It is an amenable number.

12103323121 is a deficient number, since it is larger than the sum of its proper divisors (24103799).

12103323121 is an equidigital number, since it uses as much as digits as its factorization.

12103323121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11075.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12103323121 its reverse (12132330121), we get a palindrome (24235653242).

It can be divided in two parts, 1210 and 3323121, that added together give a triangular number (3324331 = T2578).

The spelling of 12103323121 in words is "twelve billion, one hundred three million, three hundred twenty-three thousand, one hundred twenty-one".

Divisors: 1 733 1973 8369 1446209 6134477 16512037 12103323121