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130321303420860 = 2232510110457685511
BaseRepresentation
bin11101101000011011001010…
…111111110011111110111100
3122002102121001201002020001100
4131220123022333303332330
5114040141012133431420
61141100440313213100
736310255246546626
oct3550331277637674
9562377051066040
10130321303420860
1138584a55347972
1212749184a01190
135794327b23766
142427828757c16
15100ee5213c190
hex7686caff3fbc

130321303420860 has 144 divisors (see below), whose sum is σ = 399260653751232. Its totient is φ = 34404924288000.

The previous prime is 130321303420849. The next prime is 130321303420969. The reversal of 130321303420860 is 68024303123031.

130321303420860 is a `hidden beast` number, since 1 + 3 + 0 + 321 + 303 + 4 + 20 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 189765505 + ... + 190451015.

It is an arithmetic number, because the mean of its divisors is an integer number (2772643428828).

Almost surely, 2130321303420860 is an apocalyptic number.

130321303420860 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 130321303420860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199630326875616).

130321303420860 is an abundant number, since it is smaller than the sum of its proper divisors (268939350330372).

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

130321303420860 is a wasteful number, since it uses less digits than its factorization.

130321303420860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 696084 (or 696079 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

Adding to 130321303420860 its reverse (68024303123031), we get a palindrome (198345606543891).

The spelling of 130321303420860 in words is "one hundred thirty trillion, three hundred twenty-one billion, three hundred three million, four hundred twenty thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 3030 3636 4545 6060 9090 10457 18180 20914 31371 41828 52285 62742 94113 104570 125484 156855 188226 209140 313710 376452 470565 627420 685511 941130 1056157 1371022 1882260 2056533 2112314 2742044 3168471 3427555 4113066 4224628 5280785 6169599 6336942 6855110 8226132 9505413 10282665 10561570 12339198 12673884 13710220 15842355 19010826 20565330 21123140 24678396 30847995 31684710 38021652 41130660 47527065 61695990 63369420 69236611 95054130 123391980 138473222 190108260 207709833 276946444 346183055 415419666 623129499 692366110 830839332 1038549165 1246258998 1384732220 2077098330 2492517996 3115647495 4154196660 6231294990 7168388527 12462589980 14336777054 21505165581 28673554108 35841942635 43010331162 64515496743 71683885270 86020662324 107525827905 129030993486 143367770540 215051655810 258061986972 322577483715 430103311620 645154967430 724007241227 1290309934860 1448014482454 2172021723681 2896028964908 3620036206135 4344043447362 6516065171043 7240072412270 8688086894724 10860108618405 13032130342086 14480144824540 21720217236810 26064260684172 32580325855215 43440434473620 65160651710430 130321303420860