Search a number
-
+
131223132 = 22331215029
BaseRepresentation
bin1111101001001…
…00111001011100
3100010220211022000
413310210321130
5232043120012
621004322300
73152243505
oct764447134
9303824260
10131223132
1168087977
1237b43390
1321256431
14135dbbac
15b7c0ddc
hex7d24e5c

131223132 has 24 divisors (see below), whose sum is σ = 340208400. Its totient is φ = 43741008.

The previous prime is 131223109. The next prime is 131223149. The reversal of 131223132 is 231322131.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 607407 + ... + 607622.

It is an arithmetic number, because the mean of its divisors is an integer number (14175350).

Almost surely, 2131223132 is an apocalyptic number.

131223132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

131223132 is an abundant number, since it is smaller than the sum of its proper divisors (208985268).

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

131223132 is a wasteful number, since it uses less digits than its factorization.

131223132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215042 (or 1215034 counting only the distinct ones).

The product of its digits is 216, while the sum is 18.

The square root of 131223132 is about 11455.2665617174. The cubic root of 131223132 is about 508.1634985332.

Adding to 131223132 its reverse (231322131), we get a palindrome (362545263).

The spelling of 131223132 in words is "one hundred thirty-one million, two hundred twenty-three thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 1215029 2430058 3645087 4860116 7290174 10935261 14580348 21870522 32805783 43741044 65611566 131223132