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132724122340 = 22510096577013
BaseRepresentation
bin111101110011011111…
…0010110001011100100
3110200120202211222221211
41323212332112023210
54133304333403330
6140550030321204
712406012265665
oct1734676261344
9420522758854
10132724122340
1151319341607
1221881059204
13c692385b44
1465d11bb36c
1536bc0b0d2a
hex1ee6f962e4

132724122340 has 24 divisors (see below), whose sum is σ = 278996933880. Its totient is φ = 53037024768.

The previous prime is 132724122277. The next prime is 132724122361. The reversal of 132724122340 is 43221427231.

It can be written as a sum of positive squares in 4 ways, for example, as 4325166756 + 128398955584 = 65766^2 + 358328^2 .

It is a super-3 number, since 3×1327241223403 (a number of 34 digits) contains 333 as substring.

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, 3268327 + ... + 3308686.

It is an arithmetic number, because the mean of its divisors is an integer number (11624872245).

Almost surely, 2132724122340 is an apocalyptic number.

132724122340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132724122340 is an abundant number, since it is smaller than the sum of its proper divisors (146272811540).

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

132724122340 is a wasteful number, since it uses less digits than its factorization.

132724122340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6578031 (or 6578029 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

Adding to 132724122340 its reverse (43221427231), we get a palindrome (175945549571).

The spelling of 132724122340 in words is "one hundred thirty-two billion, seven hundred twenty-four million, one hundred twenty-two thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 1009 2018 4036 5045 10090 20180 6577013 13154026 26308052 32885065 65770130 131540260 6636206117 13272412234 26544824468 33181030585 66362061170 132724122340