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10131211033 is a prime number
BaseRepresentation
bin10010110111101111…
…00000001100011001
3222011001122211211021
421123313200030121
5131222042223113
64353151002441
7506026605256
oct113367401431
928131584737
1010131211033
114329893889
121b68b09421
13c55c3b238
146c175a42d
153e467a48d
hex25bde0319

10131211033 has 2 divisors, whose sum is σ = 10131211034. Its totient is φ = 10131211032.

The previous prime is 10131211009. The next prime is 10131211039. The reversal of 10131211033 is 33011213101.

10131211033 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., 9727482384 + 403728649 = 98628^2 + 20093^2 .

It is a cyclic number.

It is not a de Polignac number, because 10131211033 - 25 = 10131211001 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10131210998 and 10131211016.

It is not a weakly prime, because it can be changed into another prime (10131211039) 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, 5065605516 + 5065605517.

It is an arithmetic number, because the mean of its divisors is an integer number (5065605517).

Almost surely, 210131211033 is an apocalyptic number.

It is an amenable number.

10131211033 is a deficient number, since it is larger than the sum of its proper divisors (1).

10131211033 is an equidigital number, since it uses as much as digits as its factorization.

10131211033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 10131211033 its reverse (33011213101), we get a palindrome (43142424134).

The spelling of 10131211033 in words is "ten billion, one hundred thirty-one million, two hundred eleven thousand, thirty-three".