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132300233 = 1329212101
BaseRepresentation
bin1111110001010…
…11110111001001
3100012221112210122
413320223313021
5232332101413
621043353025
73164350652
oct770536711
9305845718
10132300233
116875313a
1238382775
1321542780
14137dc529
15b935108
hex7e2bdc9

132300233 has 12 divisors (see below), whose sum is σ = 147571788. Its totient is φ = 117902400.

The previous prime is 132300227. The next prime is 132300247. The reversal of 132300233 is 332003231.

It can be written as a sum of positive squares in 6 ways, for example, as 5895184 + 126405049 = 2428^2 + 11243^2 .

It is not a de Polignac number, because 132300233 - 26 = 132300169 is a prime.

It is not an unprimeable number, because it can be changed into a prime (132300733) 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 11 ways as a sum of consecutive naturals, for example, 4883 + ... + 16983.

It is an arithmetic number, because the mean of its divisors is an integer number (12297649).

Almost surely, 2132300233 is an apocalyptic number.

132300233 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132300233 is a deficient number, since it is larger than the sum of its proper divisors (15271555).

132300233 is a wasteful number, since it uses less digits than its factorization.

132300233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12172 (or 12143 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

The square root of 132300233 is about 11502.1838361243. The cubic root of 132300233 is about 509.5500748034.

Adding to 132300233 its reverse (332003231), we get a palindrome (464303464).

The spelling of 132300233 in words is "one hundred thirty-two million, three hundred thousand, two hundred thirty-three".

Divisors: 1 13 29 377 841 10933 12101 157313 350929 4562077 10176941 132300233