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105244312001 is a prime number
BaseRepresentation
bin110001000000100001…
…1001100000111000001
3101001122122201222212112
41202001003030013001
53211020020441001
6120203142505105
710414023614603
oct1420103140701
9331578658775
10105244312001
11406a7741354
1218492135195
139c0316ba3a
14514575b173
152b0e84ecbb
hex18810cc1c1

105244312001 has 2 divisors, whose sum is σ = 105244312002. Its totient is φ = 105244312000.

The previous prime is 105244311989. The next prime is 105244312073. The reversal of 105244312001 is 100213442501.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 104975352001 + 268960000 = 323999^2 + 16400^2 .

It is an emirp because it is prime and its reverse (100213442501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 105244312001 - 26 = 105244311937 is a prime.

It is a super-2 number, since 2×1052443120012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (105244312091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 52622156000 + 52622156001.

It is an arithmetic number, because the mean of its divisors is an integer number (52622156001).

Almost surely, 2105244312001 is an apocalyptic number.

It is an amenable number.

105244312001 is a deficient number, since it is larger than the sum of its proper divisors (1).

105244312001 is an equidigital number, since it uses as much as digits as its factorization.

105244312001 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 105244312001 its reverse (100213442501), we get a palindrome (205457754502).

The spelling of 105244312001 in words is "one hundred five billion, two hundred forty-four million, three hundred twelve thousand, one".