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130938525 = 345264661
BaseRepresentation
bin1111100110111…
…11011010011101
3100010101100220000
413303133122131
5232010013100
620554244513
73146646654
oct763373235
9303340800
10130938525
1167a03063
1237a26739
1321186a23
141356619b
15b766900
hex7cdf69d

130938525 has 30 divisors (see below), whose sum is σ = 242547162. Its totient is φ = 69832800.

The previous prime is 130938503. The next prime is 130938527. The reversal of 130938525 is 525839031.

It can be written as a sum of positive squares in 3 ways, for example, as 910116 + 130028409 = 954^2 + 11403^2 .

It is not a de Polignac number, because 130938525 - 29 = 130938013 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 130938525.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130938527) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 30306 + ... + 34355.

Almost surely, 2130938525 is an apocalyptic number.

130938525 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130938525 is a deficient number, since it is larger than the sum of its proper divisors (111608637).

130938525 is an equidigital number, since it uses as much as digits as its factorization.

130938525 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 64683 (or 64669 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The square root of 130938525 is about 11442.8372792765. The cubic root of 130938525 is about 507.7958510202.

The spelling of 130938525 in words is "one hundred thirty million, nine hundred thirty-eight thousand, five hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 64661 193983 323305 581949 969915 1616525 1745847 2909745 4849575 5237541 8729235 14548725 26187705 43646175 130938525