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10442314122301 is a prime number
BaseRepresentation
bin1001011111110100101001…
…1011001000010000111101
31100222021102211021202100001
42113331022123020100331
52332041324403403201
634113044411434301
72125301164346335
oct227751233102075
940867384252301
1010442314122301
113366619100826
121207959a55991
135a99240c7249
142815a6d660c5
15131966584301
hex97f4a6c843d

10442314122301 has 2 divisors, whose sum is σ = 10442314122302. Its totient is φ = 10442314122300.

The previous prime is 10442314122281. The next prime is 10442314122349. The reversal of 10442314122301 is 10322141324401.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 5624723722500 + 4817590399801 = 2371650^2 + 2194901^2 .

It is an emirp because it is prime and its reverse (10322141324401) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10442314122301 - 227 = 10442179904573 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10442314122301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10442314192301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5221157061150 + 5221157061151.

It is an arithmetic number, because the mean of its divisors is an integer number (5221157061151).

Almost surely, 210442314122301 is an apocalyptic number.

It is an amenable number.

10442314122301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10442314122301 is an equidigital number, since it uses as much as digits as its factorization.

10442314122301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

Adding to 10442314122301 its reverse (10322141324401), we get a palindrome (20764455446702).

The spelling of 10442314122301 in words is "ten trillion, four hundred forty-two billion, three hundred fourteen million, one hundred twenty-two thousand, three hundred one".