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10132125 = 35341659
BaseRepresentation
bin100110101001…
…101010011101
3201001202122220
4212221222131
510043212000
61001055553
7152056503
oct46515235
921052586
1010132125
1157a0463
1234875b9
132139a53
1414ba673
15d521a0
hex9a9a9d

10132125 has 32 divisors (see below), whose sum is σ = 17297280. Its totient is φ = 5264000.

The previous prime is 10132103. The next prime is 10132139. The reversal of 10132125 is 52123101.

It is not a de Polignac number, because 10132125 - 25 = 10132093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 15046 + ... + 15704.

It is an arithmetic number, because the mean of its divisors is an integer number (540540).

Almost surely, 210132125 is an apocalyptic number.

10132125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10132125 is a deficient number, since it is larger than the sum of its proper divisors (7165155).

10132125 is an equidigital number, since it uses as much as digits as its factorization.

10132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 718 (or 708 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 10132125 is about 3183.0999041815. The cubic root of 10132125 is about 216.3881694656.

Adding to 10132125 its reverse (52123101), we get a palindrome (62255226).

The spelling of 10132125 in words is "ten million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 15 25 41 75 123 125 205 375 615 659 1025 1977 3075 3295 5125 9885 15375 16475 27019 49425 81057 82375 135095 247125 405285 675475 2026425 3377375 10132125