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12413211101 is a prime number
BaseRepresentation
bin10111000111110001…
…01001000111011101
31012001002122110102022
423203320221013131
5200410240223401
65411430105525
7616416360554
oct134370510735
935032573368
1012413211101
11529aa30255
1224a51ab2a5
13122a950435
1485a860d9b
154c9b9371b
hex2e3e291dd

12413211101 has 2 divisors, whose sum is σ = 12413211102. Its totient is φ = 12413211100.

The previous prime is 12413211091. The next prime is 12413211149. The reversal of 12413211101 is 10111231421.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8742063001 + 3671148100 = 93499^2 + 60590^2 .

It is a cyclic number.

It is not a de Polignac number, because 12413211101 - 210 = 12413210077 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12413211101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12413211901) 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 as a sum of consecutive naturals, namely, 6206605550 + 6206605551.

It is an arithmetic number, because the mean of its divisors is an integer number (6206605551).

Almost surely, 212413211101 is an apocalyptic number.

It is an amenable number.

12413211101 is a deficient number, since it is larger than the sum of its proper divisors (1).

12413211101 is an equidigital number, since it uses as much as digits as its factorization.

12413211101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48, while the sum is 17.

Adding to 12413211101 its reverse (10111231421), we get a palindrome (22524442522).

The spelling of 12413211101 in words is "twelve billion, four hundred thirteen million, two hundred eleven thousand, one hundred one".