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10221111317 is a prime number
BaseRepresentation
bin10011000010011100…
…11100100000010101
3222101022211020211102
421201032130200111
5131413101030232
64410121515445
7511201004234
oct114116344025
928338736742
1010221111317
11437560723a
121b93042b85
13c6b756981
146cd67cb1b
153ec4d7662
hex26139c815

10221111317 has 2 divisors, whose sum is σ = 10221111318. Its totient is φ = 10221111316.

The previous prime is 10221111281. The next prime is 10221111319. The reversal of 10221111317 is 71311112201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9708949156 + 512162161 = 98534^2 + 22631^2 .

It is a cyclic number.

It is not a de Polignac number, because 10221111317 - 216 = 10221045781 is a prime.

It is a super-2 number, since 2×102211113172 (a number of 21 digits) contains 22 as substring.

Together with 10221111319, 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 (10221111319) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110555658 + 5110555659.

It is an arithmetic number, because the mean of its divisors is an integer number (5110555659).

Almost surely, 210221111317 is an apocalyptic number.

It is an amenable number.

10221111317 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221111317 is an equidigital number, since it uses as much as digits as its factorization.

10221111317 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 84, while the sum is 20.

Adding to 10221111317 its reverse (71311112201), we get a palindrome (81532223518).

The spelling of 10221111317 in words is "ten billion, two hundred twenty-one million, one hundred eleven thousand, three hundred seventeen".