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12103122321 = 324492995081
BaseRepresentation
bin10110100010110011…
…01111110110010001
31011020111011022120200
423101121233312101
5144241344403241
65320551525413
7605632561623
oct132131576621
934214138520
1012103122321
115150995a34
122419389869
1311ab62c554
1482b5c2c13
154ac8404b6
hex2d166fd91

12103122321 has 12 divisors (see below), whose sum is σ = 17521229700. Its totient is φ = 8050775040.

The previous prime is 12103122319. The next prime is 12103122359. The reversal of 12103122321 is 12322130121.

12103122321 is a `hidden beast` number, since 121 + 0 + 312 + 232 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4104324225 + 7998798096 = 64065^2 + 89436^2 .

It is not a de Polignac number, because 12103122321 - 21 = 12103122319 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 12103122294 and 12103122303.

It is not an unprimeable number, because it can be changed into a prime (12103122821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1493500 + ... + 1501581.

It is an arithmetic number, because the mean of its divisors is an integer number (1460102475).

Almost surely, 212103122321 is an apocalyptic number.

It is an amenable number.

12103122321 is a deficient number, since it is larger than the sum of its proper divisors (5418107379).

12103122321 is a wasteful number, since it uses less digits than its factorization.

12103122321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2995536 (or 2995533 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 12103122321 its reverse (12322130121), we get a palindrome (24425252442).

The spelling of 12103122321 in words is "twelve billion, one hundred three million, one hundred twenty-two thousand, three hundred twenty-one".

Divisors: 1 3 9 449 1347 4041 2995081 8985243 26955729 1344791369 4034374107 12103122321