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130104520 = 235713311153
BaseRepresentation
bin1111100000100…
…11110011001000
3100001210222211221
413300103303020
5231301321040
620524331424
73136604320
oct760236310
9301728757
10130104520
11674934a7
12376a3b74
1320c54230
14133ca280
15b64e74a
hex7c13cc8

130104520 has 128 divisors (see below), whose sum is σ = 372234240. Its totient is φ = 39813120.

The previous prime is 130104517. The next prime is 130104529. The reversal of 130104520 is 25401031.

It is a super-2 number, since 2×1301045202 = 33854372248860800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 130104494 and 130104503.

It is not an unprimeable number, because it can be changed into a prime (130104529) 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 31 ways as a sum of consecutive naturals, for example, 112264 + ... + 113416.

It is an arithmetic number, because the mean of its divisors is an integer number (2908080).

Almost surely, 2130104520 is an apocalyptic number.

130104520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130104520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186117120).

130104520 is an abundant number, since it is smaller than the sum of its proper divisors (242129720).

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

130104520 is a wasteful number, since it uses less digits than its factorization.

130104520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1215 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 130104520 is about 11406.3368352859. The cubic root of 130104520 is about 506.7154289019.

Adding to 130104520 its reverse (25401031), we get a palindrome (155505551).

The spelling of 130104520 in words is "one hundred thirty million, one hundred four thousand, five hundred twenty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 31 35 40 52 56 62 65 70 91 104 124 130 140 155 182 217 248 260 280 310 364 403 434 455 520 620 728 806 868 910 1085 1153 1240 1612 1736 1820 2015 2170 2306 2821 3224 3640 4030 4340 4612 5642 5765 8060 8071 8680 9224 11284 11530 14105 14989 16120 16142 22568 23060 28210 29978 32284 35743 40355 46120 56420 59956 64568 71486 74945 80710 104923 112840 119912 142972 149890 161420 178715 209846 250201 285944 299780 322840 357430 419692 464659 500402 524615 599560 714860 839384 929318 1000804 1049230 1251005 1429720 1858636 2001608 2098460 2323295 2502010 3252613 3717272 4196920 4646590 5004020 6505226 9293180 10008040 13010452 16263065 18586360 26020904 32526130 65052260 130104520