Search a number
-
+
10214310401 is a prime number
BaseRepresentation
bin10011000001101001…
…00000001000000001
3222100212000201201122
421200310200020001
5131404330413101
64405320042025
7511056130421
oct114064401001
928325021648
1010214310401
114371791649
121b90903315
13c6a215269
146cc7cc481
153ebae251b
hex260d20201

10214310401 has 2 divisors, whose sum is σ = 10214310402. Its totient is φ = 10214310400.

The previous prime is 10214310389. The next prime is 10214310479. The reversal of 10214310401 is 10401341201.

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., 8418246001 + 1796064400 = 91751^2 + 42380^2 .

It is an emirp because it is prime and its reverse (10401341201) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10214310401 - 214 = 10214294017 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10214310401.

It is not a weakly prime, because it can be changed into another prime (10214315401) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5107155200 + 5107155201.

It is an arithmetic number, because the mean of its divisors is an integer number (5107155201).

Almost surely, 210214310401 is an apocalyptic number.

It is an amenable number.

10214310401 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214310401 is an equidigital number, since it uses as much as digits as its factorization.

10214310401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 10214310401 its reverse (10401341201), we get a palindrome (20615651602).

The spelling of 10214310401 in words is "ten billion, two hundred fourteen million, three hundred ten thousand, four hundred one".