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131325324 = 223132333613
BaseRepresentation
bin1111101001111…
…01110110001100
3100011010000110220
413310331312030
5232104402244
621010431340
73153150444
oct764756614
9304100426
10131325324
1168147729
1237b92550
1321290ac0
1413627124
15b7e1319
hex7d3dd8c

131325324 has 48 divisors (see below), whose sum is σ = 331504992. Its totient is φ = 40223232.

The previous prime is 131325307. The next prime is 131325329. The reversal of 131325324 is 423523131.

It is a junction number, because it is equal to n+sod(n) for n = 131325294 and 131325303.

It is not an unprimeable number, because it can be changed into a prime (131325329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 34542 + ... + 38154.

It is an arithmetic number, because the mean of its divisors is an integer number (6906354).

Almost surely, 2131325324 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131325324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165752496).

131325324 is an abundant number, since it is smaller than the sum of its proper divisors (200179668).

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

131325324 is a wasteful number, since it uses less digits than its factorization.

131325324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3866 (or 3864 counting only the distinct ones).

The product of its digits is 2160, while the sum is 24.

The square root of 131325324 is about 11459.7261747391. The cubic root of 131325324 is about 508.2953776432.

Adding to 131325324 its reverse (423523131), we get a palindrome (554848455).

The spelling of 131325324 in words is "one hundred thirty-one million, three hundred twenty-five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 233 466 699 932 1398 2796 3029 3613 6058 7226 9087 10839 12116 14452 18174 21678 36348 43356 46969 93938 140907 187876 281814 563628 841829 1683658 2525487 3367316 5050974 10101948 10943777 21887554 32831331 43775108 65662662 131325324