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10112210221 is a prime number
BaseRepresentation
bin10010110101011110…
…00001010100101101
3222002201220111121111
421122233001110231
5131202211211341
64351231432021
7505406240311
oct113257012455
928081814544
1010112210221
11431a096233
121b62685611
13c52017859
146bd011b41
153e2b75681
hex25abc152d

10112210221 has 2 divisors, whose sum is σ = 10112210222. Its totient is φ = 10112210220.

The previous prime is 10112210209. The next prime is 10112210233. The reversal of 10112210221 is 12201221101.

10112210221 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (10112210209) and next prime (10112210233).

It can be written as a sum of positive squares in only one way, i.e., 9099061321 + 1013148900 = 95389^2 + 31830^2 .

It is a cyclic number.

It is not a de Polignac number, because 10112210221 - 213 = 10112202029 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10112210201) 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, 5056105110 + 5056105111.

It is an arithmetic number, because the mean of its divisors is an integer number (5056105111).

Almost surely, 210112210221 is an apocalyptic number.

It is an amenable number.

10112210221 is a deficient number, since it is larger than the sum of its proper divisors (1).

10112210221 is an equidigital number, since it uses as much as digits as its factorization.

10112210221 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 10112210221 its reverse (12201221101), we get a palindrome (22313431322).

The spelling of 10112210221 in words is "ten billion, one hundred twelve million, two hundred ten thousand, two hundred twenty-one".