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10123241101 is a prime number
BaseRepresentation
bin10010110110110010…
…00110011010001101
3222010111122221010121
421123121012122031
5131213022203401
64352304104541
7505602062311
oct113331063215
928114587117
1010123241101
11432533a966
121b66305151
13c543aa6bc
146c0683b41
153e3b03ca1
hex25b64668d

10123241101 has 2 divisors, whose sum is σ = 10123241102. Its totient is φ = 10123241100.

The previous prime is 10123241087. The next prime is 10123241113. The reversal of 10123241101 is 10114232101.

10123241101 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., 5327540100 + 4795701001 = 72990^2 + 69251^2 .

It is an emirp because it is prime and its reverse (10114232101) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10123241101 - 25 = 10123241069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10123241801) 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, 5061620550 + 5061620551.

It is an arithmetic number, because the mean of its divisors is an integer number (5061620551).

Almost surely, 210123241101 is an apocalyptic number.

It is an amenable number.

10123241101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10123241101 is an equidigital number, since it uses as much as digits as its factorization.

10123241101 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 16.

Adding to 10123241101 its reverse (10114232101), we get a palindrome (20237473202).

The spelling of 10123241101 in words is "ten billion, one hundred twenty-three million, two hundred forty-one thousand, one hundred one".