Search a number
-
+
131233320 = 23325364537
BaseRepresentation
bin1111101001001…
…11011000101000
3100010221100021100
413310213120220
5232043431240
621004441400
73152315301
oct764473050
9303840240
10131233320
1168094599
1237b49260
132125ac6a
14136017a8
15b7c3e30
hex7d27628

131233320 has 48 divisors (see below), whose sum is σ = 426509460. Its totient is φ = 34995456.

The previous prime is 131233309. The next prime is 131233321. The reversal of 131233320 is 23332131.

131233320 is a `hidden beast` number, since 1 + 312 + 33 + 320 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 131194116 + 39204 = 11454^2 + 198^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 131233293 and 131233302.

It is not an unprimeable number, because it can be changed into a prime (131233321) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 181909 + ... + 182628.

Almost surely, 2131233320 is an apocalyptic number.

131233320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131233320 is an abundant number, since it is smaller than the sum of its proper divisors (295276140).

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

131233320 is a wasteful number, since it uses less digits than its factorization.

131233320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 364554 (or 364547 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 131233320 is about 11455.7112393775. The cubic root of 131233320 is about 508.1766492526.

Adding to 131233320 its reverse (23332131), we get a palindrome (154565451).

The spelling of 131233320 in words is "one hundred thirty-one million, two hundred thirty-three thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 364537 729074 1093611 1458148 1822685 2187222 2916296 3280833 3645370 4374444 5468055 6561666 7290740 8748888 10936110 13123332 14581480 16404165 21872220 26246664 32808330 43744440 65616660 131233320