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131201325 = 32521734301
BaseRepresentation
bin1111101000111…
…11100100101101
3100010212201101100
413310133210231
5232041420300
621004033313
73152123103
oct764374455
9303781340
10131201325
1168072552
1237b32839
1321249528
14135d3c73
15b7b9700
hex7d1f92d

131201325 has 36 divisors (see below), whose sum is σ = 248826708. Its totient is φ = 65856000.

The previous prime is 131201303. The next prime is 131201351. The reversal of 131201325 is 523102131.

It can be written as a sum of positive squares in 6 ways, for example, as 7257636 + 123943689 = 2694^2 + 11133^2 .

It is not a de Polignac number, because 131201325 - 25 = 131201293 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131201298 and 131201307.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 13326 + ... + 20975.

It is an arithmetic number, because the mean of its divisors is an integer number (6911853).

Almost surely, 2131201325 is an apocalyptic number.

131201325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131201325 is a deficient number, since it is larger than the sum of its proper divisors (117625383).

131201325 is a wasteful number, since it uses less digits than its factorization.

131201325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34334 (or 34326 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 131201325 is about 11454.3146892339. The cubic root of 131201325 is about 508.1353476649.

Adding to 131201325 its reverse (523102131), we get a palindrome (654303456).

The spelling of 131201325 in words is "one hundred thirty-one million, two hundred one thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 425 765 1275 3825 34301 102903 171505 308709 514515 583117 857525 1543545 1749351 2572575 2915585 5248053 7717725 8746755 14577925 26240265 43733775 131201325