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130321300320 = 2532597932999
BaseRepresentation
bin111100101011111000…
…0010011101101100000
3110110101022111222210200
41321113300103231200
54113344223102240
6135511353425200
712262324526661
oct1712760235540
9413338458720
10130321300320
11502a5a81892
122131040b200
13c39b61c873
146444025368
1535cb17d930
hex1e57c13b60

130321300320 has 144 divisors (see below), whose sum is σ = 449306676000. Its totient is φ = 34394038272.

The previous prime is 130321300313. The next prime is 130321300357. The reversal of 130321300320 is 23003123031.

130321300320 is a `hidden beast` number, since 13 + 0 + 32 + 1 + 300 + 320 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 130321300293 and 130321300302.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 326820 + ... + 606179.

It is an arithmetic number, because the mean of its divisors is an integer number (3120185250).

Almost surely, 2130321300320 is an apocalyptic number.

130321300320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130321300320 is an abundant number, since it is smaller than the sum of its proper divisors (318985375680).

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

130321300320 is a wasteful number, since it uses less digits than its factorization.

130321300320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 933117 (or 933106 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

Adding to 130321300320 its reverse (23003123031), we get a palindrome (153324423351).

The spelling of 130321300320 in words is "one hundred thirty billion, three hundred twenty-one million, three hundred thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 97 120 144 160 180 194 240 288 291 360 388 480 485 582 720 776 873 970 1164 1440 1455 1552 1746 1940 2328 2910 3104 3492 3880 4365 4656 5820 6984 7760 8730 9312 11640 13968 15520 17460 23280 27936 34920 46560 69840 139680 932999 1865998 2798997 3731996 4664995 5597994 7463992 8396991 9329990 11195988 13994985 14927984 16793982 18659980 22391976 27989970 29855968 33587964 37319960 41984955 44783952 55979940 67175928 74639920 83969910 89567904 90500903 111959880 134351856 149279840 167939820 181001806 223919760 268703712 271502709 335879640 362003612 447839520 452504515 543005418 671759280 724007224 814508127 905009030 1086010836 1343518560 1357513545 1448014448 1629016254 1810018060 2172021672 2715027090 2896028896 3258032508 3620036120 4072540635 4344043344 5430054180 6516065016 7240072240 8145081270 8688086688 10860108360 13032130032 14480144480 16290162540 21720216720 26064260064 32580325080 43440433440 65160650160 130321300320