Search a number
-
+
131332124 = 22711577739
BaseRepresentation
bin1111101001111…
…11100000011100
3100011010100210202
413310333200130
5232110111444
621010523032
73153206330
oct764774034
9304110722
10131332124
1168151850
1237b96478
1321293c21
14136297c0
15b7e334e
hex7d3f81c

131332124 has 48 divisors (see below), whose sum is σ = 287427840. Its totient is φ = 51010560.

The previous prime is 131332111. The next prime is 131332133. The reversal of 131332124 is 421233131.

It is a junction number, because it is equal to n+sod(n) for n = 131332096 and 131332105.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 177347 + ... + 178085.

It is an arithmetic number, because the mean of its divisors is an integer number (5988080).

Almost surely, 2131332124 is an apocalyptic number.

131332124 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131332124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143713920).

131332124 is an abundant number, since it is smaller than the sum of its proper divisors (156095716).

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

131332124 is a wasteful number, since it uses less digits than its factorization.

131332124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1336 counting only the distinct ones).

The product of its digits is 432, while the sum is 20.

The square root of 131332124 is about 11460.0228621063. The cubic root of 131332124 is about 508.3041506374.

Adding to 131332124 its reverse (421233131), we get a palindrome (552565255).

The spelling of 131332124 in words is "one hundred thirty-one million, three hundred thirty-two thousand, one hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 77 154 308 577 739 1154 1478 2308 2956 4039 5173 6347 8078 8129 10346 12694 16156 16258 20692 25388 32516 44429 56903 88858 113806 177716 227612 426403 852806 1705612 2984821 4690433 5969642 9380866 11939284 18761732 32833031 65666062 131332124