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124145125 = 5313241317
BaseRepresentation
bin1110110011001…
…00110111100101
322122121020002121
413121210313211
5223240121000
620152505541
73035134066
oct731446745
9278536077
10124145125
1164093085
12356ab2b1
131c948870
14126b856d
15ad73b1a
hex7664de5

124145125 has 32 divisors (see below), whose sum is σ = 168071904. Its totient is φ = 91008000.

The previous prime is 124145123. The next prime is 124145129. The reversal of 124145125 is 521541421.

It can be written as a sum of positive squares in 16 ways, for example, as 117353889 + 6791236 = 10833^2 + 2606^2 .

It is not a de Polignac number, because 124145125 - 21 = 124145123 is a prime.

It is a super-2 number, since 2×1241451252 = 30824024122531250, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a self number, because there is not a number n which added to its sum of digits gives 124145125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124145123) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 391467 + ... + 391783.

It is an arithmetic number, because the mean of its divisors is an integer number (5252247).

Almost surely, 2124145125 is an apocalyptic number.

It is an amenable number.

124145125 is a deficient number, since it is larger than the sum of its proper divisors (43926779).

124145125 is a wasteful number, since it uses less digits than its factorization.

124145125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 586 (or 576 counting only the distinct ones).

The product of its digits is 1600, while the sum is 25.

The square root of 124145125 is about 11142.0431250287. The cubic root of 124145125 is about 498.8575583087.

Adding to 124145125 its reverse (521541421), we get a palindrome (645686546).

The spelling of 124145125 in words is "one hundred twenty-four million, one hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 5 13 25 65 125 241 317 325 1205 1585 1625 3133 4121 6025 7925 15665 20605 30125 39625 76397 78325 103025 381985 391625 515125 993161 1909925 4965805 9549625 24829025 124145125