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10214141317 is a prime number
BaseRepresentation
bin10011000001100111…
…10110110110000101
3222100211201010210021
421200303312312011
5131404310010232
64405312255141
7511054524442
oct114063666605
928324633707
1010214141317
114371686606
121b908414b1
13c6a186303
146cc7869c9
153ebaac397
hex260cf6d85

10214141317 has 2 divisors, whose sum is σ = 10214141318. Its totient is φ = 10214141316.

The previous prime is 10214141219. The next prime is 10214141321. The reversal of 10214141317 is 71314141201.

10214141317 is digitally balanced in base 2 and base 3, because in such bases 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., 10113520356 + 100620961 = 100566^2 + 10031^2 .

It is a cyclic number.

It is not a de Polignac number, because 10214141317 - 215 = 10214108549 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10214141291 and 10214141300.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10214141347) 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, 5107070658 + 5107070659.

It is an arithmetic number, because the mean of its divisors is an integer number (5107070659).

Almost surely, 210214141317 is an apocalyptic number.

It is an amenable number.

10214141317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10214141317 is an equidigital number, since it uses as much as digits as its factorization.

10214141317 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 672, while the sum is 25.

Adding to 10214141317 its reverse (71314141201), we get a palindrome (81528282518).

The spelling of 10214141317 in words is "ten billion, two hundred fourteen million, one hundred forty-one thousand, three hundred seventeen".