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11332125 = 325371439
BaseRepresentation
bin101011001110…
…101000011101
3210022201202100
4223032220131
510400112000
61042515313
7165215160
oct53165035
923281670
1011332125
11643aaa2
123965b39
132469ccc
14170dad7
15edca00
hexacea1d

11332125 has 48 divisors (see below), whose sum is σ = 23362560. Its totient is φ = 5176800.

The previous prime is 11332121. The next prime is 11332133. The reversal of 11332125 is 52123311.

It is not a de Polignac number, because 11332125 - 22 = 11332121 is a prime.

It is a plaindrome in base 13.

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 11332098 and 11332107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11332121) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 7156 + ... + 8594.

It is an arithmetic number, because the mean of its divisors is an integer number (486720).

Almost surely, 211332125 is an apocalyptic number.

11332125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

11332125 is an abundant number, since it is smaller than the sum of its proper divisors (12030435).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

11332125 is a wasteful number, since it uses less digits than its factorization.

11332125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1467 (or 1454 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 11332125 is about 3366.3221770948. The cubic root of 11332125 is about 224.6141535152.

Adding to 11332125 its reverse (52123311), we get a palindrome (63455436).

The spelling of 11332125 in words is "eleven million, three hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 35 45 63 75 105 125 175 225 315 375 525 875 1125 1439 1575 2625 4317 7195 7875 10073 12951 21585 30219 35975 50365 64755 90657 107925 151095 179875 251825 323775 453285 539625 755475 1259125 1618875 2266425 3777375 11332125