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10216114301 is a prime number
BaseRepresentation
bin10011000001110110…
…11000100001111101
3222100222102101012202
421200323120201331
5131410311124201
64405422441245
7511110352541
oct114073304175
928328371182
1010216114301
114372803978
121b91433225
13c6a6c7363
146ccb3ba21
153ebd4bc6b
hex260ed887d

10216114301 has 2 divisors, whose sum is σ = 10216114302. Its totient is φ = 10216114300.

The previous prime is 10216114277. The next prime is 10216114303. The reversal of 10216114301 is 10341161201.

It is a happy number.

10216114301 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., 8565317401 + 1650796900 = 92549^2 + 40630^2 .

It is a cyclic number.

It is not a de Polignac number, because 10216114301 - 214 = 10216097917 is a prime.

It is a super-2 number, since 2×102161143012 (a number of 21 digits) contains 22 as substring.

Together with 10216114303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10216114303) 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, 5108057150 + 5108057151.

It is an arithmetic number, because the mean of its divisors is an integer number (5108057151).

Almost surely, 210216114301 is an apocalyptic number.

It is an amenable number.

10216114301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10216114301 is an equidigital number, since it uses as much as digits as its factorization.

10216114301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 20.

Adding to 10216114301 its reverse (10341161201), we get a palindrome (20557275502).

The spelling of 10216114301 in words is "ten billion, two hundred sixteen million, one hundred fourteen thousand, three hundred one".