Search a number
-
+
132003313 = 13411671483
BaseRepresentation
bin1111101111000…
…11010111110001
3100012101110111121
413313203113301
5232243101223
621033142241
73162003211
oct767432761
9305343447
10132003313
1168570052
123825a981
132146a590
1413762241
15b8c715d
hex7de35f1

132003313 has 16 divisors (see below), whose sum is σ = 146595456. Its totient is φ = 118085760.

The previous prime is 132003281. The next prime is 132003359. The reversal of 132003313 is 313300231.

It is not a de Polignac number, because 132003313 - 25 = 132003281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132003373) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88270 + ... + 89752.

It is an arithmetic number, because the mean of its divisors is an integer number (9162216).

Almost surely, 2132003313 is an apocalyptic number.

132003313 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

132003313 is a deficient number, since it is larger than the sum of its proper divisors (14592143).

132003313 is a wasteful number, since it uses less digits than its factorization.

132003313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1704.

The product of its (nonzero) digits is 162, while the sum is 16.

The square root of 132003313 is about 11489.2694719899. The cubic root of 132003313 is about 509.1685966814.

Adding to 132003313 its reverse (313300231), we get a palindrome (445303544).

The spelling of 132003313 in words is "one hundred thirty-two million, three thousand, three hundred thirteen".

Divisors: 1 13 41 167 533 1483 2171 6847 19279 60803 89011 247661 790439 3219593 10154101 132003313