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125538127 = 11133128319
BaseRepresentation
bin1110111101110…
…00111101001111
322202012222221021
413132320331033
5224114210002
620242415011
73053025241
oct736707517
9282188837
10125538127
1164954720
1236061467
1320015920
141295c091
15b04b737
hex77b8f4f

125538127 has 16 divisors (see below), whose sum is σ = 152248320. Its totient is φ = 101944800.

The previous prime is 125538067. The next prime is 125538143. The reversal of 125538127 is 721835521.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-125538127 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 125538092 and 125538101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125538167) 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 in 15 ways as a sum of consecutive naturals, for example, 9727 + ... + 18592.

It is an arithmetic number, because the mean of its divisors is an integer number (9515520).

Almost surely, 2125538127 is an apocalyptic number.

125538127 is a deficient number, since it is larger than the sum of its proper divisors (26710193).

125538127 is a wasteful number, since it uses less digits than its factorization.

125538127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28374.

The product of its digits is 16800, while the sum is 34.

The square root of 125538127 is about 11204.3798132695. The cubic root of 125538127 is about 500.7164755020.

The spelling of 125538127 in words is "one hundred twenty-five million, five hundred thirty-eight thousand, one hundred twenty-seven".

Divisors: 1 11 13 31 143 341 403 4433 28319 311509 368147 877889 4049617 9656779 11412557 125538127