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130440012333020 = 225132395773638009
BaseRepresentation
bin11101101010001001101110…
…100110010111111111011100
3122002211221110201211202222122
4131222021232212113333130
5114044112121124124040
61141231151525202112
736321660050630555
oct3552115646277734
9562757421752878
10130440012333020
1138620331441645
1212768194260338
1357a25956a3510
14242d48a41d32c
15101309dab31b5
hex76a26e997fdc

130440012333020 has 96 divisors (see below), whose sum is σ = 296742871353600. Its totient is φ = 47877815107584.

The previous prime is 130440012333017. The next prime is 130440012333041. The reversal of 130440012333020 is 20333210044031.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 34035776 + ... + 37673784.

It is an arithmetic number, because the mean of its divisors is an integer number (3091071576600).

Almost surely, 2130440012333020 is an apocalyptic number.

130440012333020 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 130440012333020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148371435676800).

130440012333020 is an abundant number, since it is smaller than the sum of its proper divisors (166302859020580).

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

130440012333020 is a wasteful number, since it uses less digits than its factorization.

130440012333020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3638847 (or 3638845 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 26.

Adding to 130440012333020 its reverse (20333210044031), we get a palindrome (150773222377051).

The spelling of 130440012333020 in words is "one hundred thirty trillion, four hundred forty billion, twelve million, three hundred thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 239 260 478 577 956 1154 1195 2308 2390 2885 3107 4780 5770 6214 7501 11540 12428 15002 15535 30004 31070 37505 62140 75010 137903 150020 275806 551612 689515 1379030 1792739 2758060 3585478 3638009 7170956 7276018 8963695 14552036 17927390 18190045 35854780 36380090 47294117 72760180 94588234 189176468 236470585 472941170 869484151 945882340 1738968302 2099131193 3477936604 4198262386 4347420755 8396524772 8694841510 10495655965 11303293963 17389683020 20991311930 22606587926 27288705509 41982623860 45213175852 54577411018 56516469815 109154822036 113032939630 136443527545 226065879260 272887055090 501692355127 545774110180 1003384710254 2006769420508 2508461775635 5016923551270 6522000616651 10033847102540 13044001233302 26088002466604 32610003083255 65220006166510 130440012333020