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132100425 = 32521015813
BaseRepresentation
bin1111101111110…
…11000101001001
3100012120101201100
413313323011021
5232304203200
621035212013
73162556302
oct767730511
9305511640
10132100425
1168627006
12382a7009
13214a2842
14137897a9
15b8e5d00
hex7dfb149

132100425 has 36 divisors (see below), whose sum is σ = 238990284. Its totient is φ = 69744000.

The previous prime is 132100417. The next prime is 132100427. The reversal of 132100425 is 524001231.

It can be written as a sum of positive squares in 6 ways, for example, as 8156736 + 123943689 = 2856^2 + 11133^2 .

It is not a de Polignac number, because 132100425 - 23 = 132100417 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 132100398 and 132100407.

It is not an unprimeable number, because it can be changed into a prime (132100427) 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 35 ways as a sum of consecutive naturals, for example, 19819 + ... + 25631.

It is an arithmetic number, because the mean of its divisors is an integer number (6638619).

Almost surely, 2132100425 is an apocalyptic number.

132100425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132100425 is a deficient number, since it is larger than the sum of its proper divisors (106889859).

132100425 is a wasteful number, since it uses less digits than its factorization.

132100425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5930 (or 5922 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 132100425 is about 11493.4948992898. The cubic root of 132100425 is about 509.2934275387.

Adding to 132100425 its reverse (524001231), we get a palindrome (656101656).

The spelling of 132100425 in words is "one hundred thirty-two million, one hundred thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 101 225 303 505 909 1515 2525 4545 5813 7575 17439 22725 29065 52317 87195 145325 261585 435975 587113 1307925 1761339 2935565 5284017 8806695 14677825 26420085 44033475 132100425