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12312101 is a prime number
BaseRepresentation
bin101110111101…
…111000100101
3212011112000202
4232331320211
511122441401
61115520245
7206436224
oct56757045
925145022
1012312101
116a4a29a
124159085
132721089
1418c6cbb
15113306b
hexbbde25

12312101 has 2 divisors, whose sum is σ = 12312102. Its totient is φ = 12312100.

The previous prime is 12312089. The next prime is 12312103. The reversal of 12312101 is 10121321.

12312101 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9333025 + 2979076 = 3055^2 + 1726^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12312101 is a prime.

Together with 12312103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12312103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6156050 + 6156051.

It is an arithmetic number, because the mean of its divisors is an integer number (6156051).

Almost surely, 212312101 is an apocalyptic number.

It is an amenable number.

12312101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12312101 is an equidigital number, since it uses as much as digits as its factorization.

12312101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 12312101 is about 3508.8603562980. The cubic root of 12312101 is about 230.9106992891.

Adding to 12312101 its reverse (10121321), we get a palindrome (22433422).

The spelling of 12312101 in words is "twelve million, three hundred twelve thousand, one hundred one".