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130520305125 = 3353723240203
BaseRepresentation
bin111100110001110011…
…1011100110111100101
3110110220011222111002000
41321203213130313211
54114301144231000
6135543223035513
712300262200630
oct1714347346745
9413804874060
10130520305125
1150398345071
1221366b9bb99
13c400918ba2
146462628c17
1535dd88d000
hex1e639dcde5

130520305125 has 128 divisors (see below), whose sum is σ = 287783608320. Its totient is φ = 57071995200.

The previous prime is 130520305103. The next prime is 130520305127. The reversal of 130520305125 is 521503025031.

It is a happy number.

130520305125 is a `hidden beast` number, since 13 + 0 + 520 + 3 + 0 + 5 + 125 = 666.

It is not a de Polignac number, because 130520305125 - 25 = 130520305093 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130520305127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 423274 + ... + 663476.

It is an arithmetic number, because the mean of its divisors is an integer number (2248309440).

Almost surely, 2130520305125 is an apocalyptic number.

130520305125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

130520305125 is an abundant number, since it is smaller than the sum of its proper divisors (157263303195).

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

130520305125 is a wasteful number, since it uses less digits than its factorization.

130520305125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 240257 (or 240241 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

The spelling of 130520305125 in words is "one hundred thirty billion, five hundred twenty million, three hundred five thousand, one hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 23 25 27 35 45 63 69 75 105 115 125 135 161 175 189 207 225 315 345 375 483 525 575 621 675 805 875 945 1035 1125 1449 1575 1725 2415 2625 2875 3105 3375 4025 4347 4725 5175 7245 7875 8625 12075 15525 20125 21735 23625 25875 36225 60375 77625 108675 181125 240203 543375 720609 1201015 1681421 2161827 3603045 5044263 5524669 6005075 6485481 8407105 10809135 15132789 16574007 18015225 25221315 27623345 30025375 32427405 38672683 42035525 45398367 49722021 54045675 75663945 82870035 90076125 116018049 126106575 138116725 149166063 162137025 193363415 210177625 226991835 248610105 270228375 348054147 378319725 414350175 580090245 630532875 690583625 745830315 810685125 966817075 1044162441 1134959175 1243050525 1740270735 1891598625 2071750875 2900451225 3729151575 4834085375 5220812205 5674795875 6215252625 8701353675 14502256125 18645757875 26104061025 43506768375 130520305125