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10032112021 is a prime number
BaseRepresentation
bin10010101011111010…
…11110000110010101
3221220011012002112111
421111331132012111
5131021210041041
64335250551021
7503414355001
oct112575360625
927804162474
1010032112021
114288958278
121b3b898471
13c3b551879
146b2521701
153dab02981
hex255f5e195

10032112021 has 2 divisors, whose sum is σ = 10032112022. Its totient is φ = 10032112020.

The previous prime is 10032112003. The next prime is 10032112037. The reversal of 10032112021 is 12021123001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9088762225 + 943349796 = 95335^2 + 30714^2 .

It is a cyclic number.

It is not a de Polignac number, because 10032112021 - 25 = 10032111989 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10032111992 and 10032112010.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10032112001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5016056010 + 5016056011.

It is an arithmetic number, because the mean of its divisors is an integer number (5016056011).

Almost surely, 210032112021 is an apocalyptic number.

It is an amenable number.

10032112021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10032112021 is an equidigital number, since it uses as much as digits as its factorization.

10032112021 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 24, while the sum is 13.

Adding to 10032112021 its reverse (12021123001), we get a palindrome (22053235022).

The spelling of 10032112021 in words is "ten billion, thirty-two million, one hundred twelve thousand, twenty-one".