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132112125 = 3253432731
BaseRepresentation
bin1111101111111…
…01111011111101
3100012120222202200
413313331323331
5232310042000
621035342113
73162635355
oct767757375
9305528680
10132112125
1168634882
12382b1939
13214a7c72
141378db65
15b8e9500
hex7dfdefd

132112125 has 48 divisors (see below), whose sum is σ = 243781824. Its totient is φ = 68796000.

The previous prime is 132112091. The next prime is 132112147. The reversal of 132112125 is 521211231.

It is not a de Polignac number, because 132112125 - 26 = 132112061 is a prime.

It is a super-2 number, since 2×1321121252 = 34907227144031250, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132112098 and 132112107.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47010 + ... + 49740.

It is an arithmetic number, because the mean of its divisors is an integer number (5078788).

Almost surely, 2132112125 is an apocalyptic number.

132112125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132112125 is a deficient number, since it is larger than the sum of its proper divisors (111669699).

132112125 is a wasteful number, since it uses less digits than its factorization.

132112125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2795 (or 2782 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 132112125 is about 11494.0038715845. The cubic root of 132112125 is about 509.3084629614.

Adding to 132112125 its reverse (521211231), we get a palindrome (653323356).

The spelling of 132112125 in words is "one hundred thirty-two million, one hundred twelve thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 25 43 45 75 125 129 215 225 375 387 645 1075 1125 1935 2731 3225 5375 8193 9675 13655 16125 24579 40965 48375 68275 117433 122895 204825 341375 352299 587165 614475 1024125 1056897 1761495 2935825 3072375 5284485 8807475 14679125 26422425 44037375 132112125