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129006133 is a prime number
BaseRepresentation
bin1111011000001…
…11101000110101
322222202012010221
413230013220311
5231011144013
620445014341
73124351114
oct754075065
9288665127
10129006133
1166903243
12372543b1
132095b2b9
14131c1c7b
15b4d408d
hex7b07a35

129006133 has 2 divisors, whose sum is σ = 129006134. Its totient is φ = 129006132.

The previous prime is 129006113. The next prime is 129006151. The reversal of 129006133 is 331600921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 99161764 + 29844369 = 9958^2 + 5463^2 .

It is a cyclic number.

It is not a de Polignac number, because 129006133 - 29 = 129005621 is a prime.

It is a super-2 number, since 2×1290061332 = 33285164703227378, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 129006098 and 129006107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (129006113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64503066 + 64503067.

It is an arithmetic number, because the mean of its divisors is an integer number (64503067).

Almost surely, 2129006133 is an apocalyptic number.

It is an amenable number.

129006133 is a deficient number, since it is larger than the sum of its proper divisors (1).

129006133 is an equidigital number, since it uses as much as digits as its factorization.

129006133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 972, while the sum is 25.

The square root of 129006133 is about 11358.0866786620. The cubic root of 129006133 is about 505.2854420010.

The spelling of 129006133 in words is "one hundred twenty-nine million, six thousand, one hundred thirty-three".