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129217127 = 1329253223
BaseRepresentation
bin1111011001110…
…11001001100111
3100000010220120112
413230323021213
5231034422002
620453323235
73126220214
oct754731147
9300126515
10129217127
1166a37816
123733651b
1320a03350
1413238b0b
15b526852
hex7b3b267

129217127 has 24 divisors (see below), whose sum is σ = 147498624. Its totient is φ = 112484736.

The previous prime is 129217111. The next prime is 129217133. The reversal of 129217127 is 721712921.

It is not a de Polignac number, because 129217127 - 24 = 129217111 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 129217093 and 129217102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (129217027) 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 in 23 ways as a sum of consecutive naturals, for example, 579338 + ... + 579560.

It is an arithmetic number, because the mean of its divisors is an integer number (6145776).

Almost surely, 2129217127 is an apocalyptic number.

129217127 is a deficient number, since it is larger than the sum of its proper divisors (18281497).

129217127 is a wasteful number, since it uses less digits than its factorization.

129217127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347 (or 318 counting only the distinct ones).

The product of its digits is 3528, while the sum is 32.

The square root of 129217127 is about 11367.3711560765. The cubic root of 129217127 is about 505.5607625721.

The spelling of 129217127 in words is "one hundred twenty-nine million, two hundred seventeen thousand, one hundred twenty-seven".

Divisors: 1 13 29 53 223 377 689 841 1537 2899 6467 10933 11819 19981 44573 84071 153647 187543 342751 579449 2438059 4455763 9939779 129217127