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10333011113 is a prime number
BaseRepresentation
bin10011001111110010…
…10011110010101001
3222200010101100111022
421213321103302221
5132130222323423
64425200142225
7514030100555
oct114771236251
928603340438
1010333011113
114422796207
122004607975
13c889a5979
1470048a865
1540723cdc8
hex267e53ca9

10333011113 has 2 divisors, whose sum is σ = 10333011114. Its totient is φ = 10333011112.

The previous prime is 10333011107. The next prime is 10333011131. The reversal of 10333011113 is 31111033301.

Together with next prime (10333011131) it forms an Ormiston pair, because they use the same digits, order apart.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 10328047129 + 4963984 = 101627^2 + 2228^2 .

It is a cyclic number.

It is not a de Polignac number, because 10333011113 - 218 = 10332748969 is a prime.

It is a super-2 number, since 2×103330111132 (a number of 21 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10333011091 and 10333011100.

It is not a weakly prime, because it can be changed into another prime (10333011193) 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, 5166505556 + 5166505557.

It is an arithmetic number, because the mean of its divisors is an integer number (5166505557).

Almost surely, 210333011113 is an apocalyptic number.

It is an amenable number.

10333011113 is a deficient number, since it is larger than the sum of its proper divisors (1).

10333011113 is an equidigital number, since it uses as much as digits as its factorization.

10333011113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 81, while the sum is 17.

Adding to 10333011113 its reverse (31111033301), we get a palindrome (41444044414).

The spelling of 10333011113 in words is "ten billion, three hundred thirty-three million, eleven thousand, one hundred thirteen".