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129105937 is a prime number
BaseRepresentation
bin1111011001000…
…00000000010001
322222221021001101
413230200000101
5231022342222
620451104401
73125245102
oct754400021
9288837041
10129105937
1166971224
12372a2101
132099485c
141320a3a9
15b503927
hex7b20011

129105937 has 2 divisors, whose sum is σ = 129105938. Its totient is φ = 129105936.

The previous prime is 129105901. The next prime is 129105947. The reversal of 129105937 is 739501921.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 90554256 + 38551681 = 9516^2 + 6209^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-129105937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 129105896 and 129105905.

It is not a weakly prime, because it can be changed into another prime (129105947) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 64552968 + 64552969.

It is an arithmetic number, because the mean of its divisors is an integer number (64552969).

Almost surely, 2129105937 is an apocalyptic number.

It is an amenable number.

129105937 is a deficient number, since it is larger than the sum of its proper divisors (1).

129105937 is an equidigital number, since it uses as much as digits as its factorization.

129105937 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 17010, while the sum is 37.

The square root of 129105937 is about 11362.4793509163. The cubic root of 129105937 is about 505.4157110250.

The spelling of 129105937 in words is "one hundred twenty-nine million, one hundred five thousand, nine hundred thirty-seven".