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132181009 = 114972
BaseRepresentation
bin1111110000011…
…10110000010001
3100012201111020221
413320032300101
5232314243014
621041033041
73163343242
oct770166021
9305644227
10132181009
1168681604
1238325781
132150041c
14137aacc9
15b90eb24
hex7e0ec11

132181009 has 3 divisors (see below), whose sum is σ = 132192507. Its totient is φ = 132169512.

The previous prime is 132181003. The next prime is 132181013. The reversal of 132181009 is 900181231.

The square root of 132181009 is 11497.

It is a perfect power (a square), and thus also a powerful number.

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 79299025 + 52881984 = 8905^2 + 7272^2 .

It is not a de Polignac number, because 132181009 - 223 = 123792401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132181003) 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 2 ways as a sum of consecutive naturals, for example, 5749 + ... + 17245.

It is an arithmetic number, because the mean of its divisors is an integer number (44064169).

Almost surely, 2132181009 is an apocalyptic number.

132181009 is the 11497-th square number.

132181009 is the 5749-th centered octagonal number.

It is an amenable number.

132181009 is a deficient number, since it is larger than the sum of its proper divisors (11498).

132181009 is an frugal number, since it uses more digits than its factorization.

132181009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22994 (or 11497 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 25.

The cubic root of 132181009 is about 509.3969663404.

Multiplying 132181009 by its sum of digits (25), we get a square (3304525225 = 574852).

The spelling of 132181009 in words is "one hundred thirty-two million, one hundred eighty-one thousand, nine".

Divisors: 1 11497 132181009