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10133331029 is a prime number
BaseRepresentation
bin10010110111111111…
…00101110001010101
3222011012122112220122
421123333211301111
5131223113043104
64353304241325
7506053615103
oct113377456125
928135575818
1010133331029
114330001648
121b69770245
13c56501183
146c1b4cc73
153e49486be
hex25bfe5c55

10133331029 has 2 divisors, whose sum is σ = 10133331030. Its totient is φ = 10133331028.

The previous prime is 10133331011. The next prime is 10133331031. The reversal of 10133331029 is 92013333101.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7463232100 + 2670098929 = 86390^2 + 51673^2 .

It is a cyclic number.

It is not a de Polignac number, because 10133331029 - 212 = 10133326933 is a prime.

Together with 10133331031, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 10133330989 and 10133331007.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10133337029) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5066665514 + 5066665515.

It is an arithmetic number, because the mean of its divisors is an integer number (5066665515).

Almost surely, 210133331029 is an apocalyptic number.

It is an amenable number.

10133331029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10133331029 is an equidigital number, since it uses as much as digits as its factorization.

10133331029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1458, while the sum is 26.

The spelling of 10133331029 in words is "ten billion, one hundred thirty-three million, three hundred thirty-one thousand, twenty-nine".