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10221100031 is a prime number
BaseRepresentation
bin10011000010011100…
…11001101111111111
3222101022210200100102
421201032121233333
5131413100200111
64410121351315
7511200626312
oct114116315777
928338720312
1010221100031
1143755a980a
121b9303853b
13c6b7517ac
146cd678979
153ec4d413b
hex261399bff

10221100031 has 2 divisors, whose sum is σ = 10221100032. Its totient is φ = 10221100030.

The previous prime is 10221100013. The next prime is 10221100067. The reversal of 10221100031 is 13000112201.

Together with previous prime (10221100013) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 10221100031 - 214 = 10221083647 is a prime.

It is a super-2 number, since 2×102211000312 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a junction number, because it is equal to n+sod(n) for n = 10221099985 and 10221100021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10221100091) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5110550015 + 5110550016.

It is an arithmetic number, because the mean of its divisors is an integer number (5110550016).

Almost surely, 210221100031 is an apocalyptic number.

10221100031 is a deficient number, since it is larger than the sum of its proper divisors (1).

10221100031 is an equidigital number, since it uses as much as digits as its factorization.

10221100031 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12, while the sum is 11.

Adding to 10221100031 its reverse (13000112201), we get a palindrome (23221212232).

The spelling of 10221100031 in words is "ten billion, two hundred twenty-one million, one hundred thousand, thirty-one".