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12210312001 is a prime number
BaseRepresentation
bin10110101111100101…
…01001001101000001
31011111221212010011211
423113302221031001
5200001314441001
65335341210121
7611403640156
oct132762511501
934457763154
1012210312001
1151a6448148
122449260941
1311c78bc6b4
1483b92622d
154b6e65351
hex2d7ca9341

12210312001 has 2 divisors, whose sum is σ = 12210312002. Its totient is φ = 12210312000.

The previous prime is 12210311987. The next prime is 12210312011. The reversal of 12210312001 is 10021301221.

12210312001 is digitally balanced in base 2, 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., 12210250000 + 62001 = 110500^2 + 249^2 .

It is a cyclic number.

It is not a de Polignac number, because 12210312001 - 211 = 12210309953 is a prime.

It is not a weakly prime, because it can be changed into another prime (12210312011) 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 as a sum of consecutive naturals, namely, 6105156000 + 6105156001.

It is an arithmetic number, because the mean of its divisors is an integer number (6105156001).

Almost surely, 212210312001 is an apocalyptic number.

It is an amenable number.

12210312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

12210312001 is an equidigital number, since it uses as much as digits as its factorization.

12210312001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 12210312001 its reverse (10021301221), we get a palindrome (22231613222).

The spelling of 12210312001 in words is "twelve billion, two hundred ten million, three hundred twelve thousand, one".