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130320141320 = 235197161310253
BaseRepresentation
bin111100101011110101…
…1111000110000001000
3110110101020100002221202
41321113223320300020
54113343424010240
6135511312523332
712262311631655
oct1712753706010
9413336302852
10130320141320
11502a5360036
122130bb50548
13c39b305175
146443c02c2c
1535cb000315
hex1e57af8c08

130320141320 has 64 divisors (see below), whose sum is σ = 294920215920. Its totient is φ = 51826238464.

The previous prime is 130320141269. The next prime is 130320141389. The reversal of 130320141320 is 23141023031.

It can be written as a sum of positive squares in 8 ways, for example, as 77632447876 + 52687693444 = 278626^2 + 229538^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 130320141292 and 130320141301.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12705314 + ... + 12715566.

Almost surely, 2130320141320 is an apocalyptic number.

130320141320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130320141320 is an abundant number, since it is smaller than the sum of its proper divisors (164600074600).

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

130320141320 is a wasteful number, since it uses less digits than its factorization.

130320141320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12074 (or 12070 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 130320141320 its reverse (23141023031), we get a palindrome (153461164351).

The spelling of 130320141320 in words is "one hundred thirty billion, three hundred twenty million, one hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 197 394 788 985 1576 1613 1970 3226 3940 6452 7880 8065 10253 12904 16130 20506 32260 41012 51265 64520 82024 102530 205060 317761 410120 635522 1271044 1588805 2019841 2542088 3177610 4039682 6355220 8079364 10099205 12710440 16158728 16538089 20198410 33076178 40396820 66152356 80793640 82690445 132304712 165380890 330761780 661523560 3258003533 6516007066 13032014132 16290017665 26064028264 32580035330 65160070660 130320141320