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131236321 = 2353199541
BaseRepresentation
bin1111101001010…
…00000111100001
3100010221111101111
413310220013201
5232044030241
621004503321
73152330116
oct764500741
9303844344
10131236321
1168096877
1237b4ab41
132125c438
141360290d
15b7c4c81
hex7d281e1

131236321 has 16 divisors (see below), whose sum is σ = 140486400. Its totient is φ = 122316480.

The previous prime is 131236297. The next prime is 131236331. The reversal of 131236321 is 123632131.

It is a cyclic number.

It is not a de Polignac number, because 131236321 - 25 = 131236289 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 131236292 and 131236301.

It is not an unprimeable number, because it can be changed into a prime (131236331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242311 + ... + 242851.

It is an arithmetic number, because the mean of its divisors is an integer number (8780400).

Almost surely, 2131236321 is an apocalyptic number.

It is an amenable number.

131236321 is a deficient number, since it is larger than the sum of its proper divisors (9250079).

131236321 is a wasteful number, since it uses less digits than its factorization.

131236321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 816.

The product of its digits is 648, while the sum is 22.

The square root of 131236321 is about 11455.8422213297. The cubic root of 131236321 is about 508.1805228280.

Adding to 131236321 its reverse (123632131), we get a palindrome (254868452).

The spelling of 131236321 in words is "one hundred thirty-one million, two hundred thirty-six thousand, three hundred twenty-one".

Divisors: 1 23 53 199 541 1219 4577 10547 12443 28673 107659 242581 659479 2476157 5705927 131236321