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131130825 = 35271012473
BaseRepresentation
bin1111101000011…
…10010111001001
3100010202010200020
413310032113021
5232032141300
621002331053
73151410420
oct764162711
9303663606
10131130825
1168024591
1237ab9a89
1321223407
14135b62b7
15b7a38a0
hex7d0e5c9

131130825 has 48 divisors (see below), whose sum is σ = 250329216. Its totient is φ = 59328000.

The previous prime is 131130821. The next prime is 131130841. The reversal of 131130825 is 528031131.

It is not a de Polignac number, because 131130825 - 22 = 131130821 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 131130795 and 131130804.

It is not an unprimeable number, because it can be changed into a prime (131130821) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51789 + ... + 54261.

It is an arithmetic number, because the mean of its divisors is an integer number (5215192).

Almost surely, 2131130825 is an apocalyptic number.

131130825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131130825 is a deficient number, since it is larger than the sum of its proper divisors (119198391).

131130825 is a wasteful number, since it uses less digits than its factorization.

131130825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2594 (or 2589 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The square root of 131130825 is about 11451.2368327618. The cubic root of 131130825 is about 508.0443171807.

Adding to 131130825 its reverse (528031131), we get a palindrome (659161956).

The spelling of 131130825 in words is "one hundred thirty-one million, one hundred thirty thousand, eight hundred twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 101 105 175 303 505 525 707 1515 2121 2473 2525 3535 7419 7575 10605 12365 17311 17675 37095 51933 53025 61825 86555 185475 249773 259665 432775 749319 1248865 1298325 1748411 3746595 5245233 6244325 8742055 18732975 26226165 43710275 131130825