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130301312331300 = 223521191143342751
BaseRepresentation
bin11101101000001000100011…
…011011110110111000100100
3122002100200110111022122121220
4131220020203123312320210
5114034324041424100200
61141043332502540340
736305646663233655
oct3550104333667044
9562320414278556
10130301312331300
1138577526954450
1212745325a376b0
135792490248796
14242688d71152c
15100e6820814a0
hex7682236f6e24

130301312331300 has 144 divisors (see below), whose sum is σ = 411729791606784. Its totient is φ = 31553522000000.

The previous prime is 130301312331263. The next prime is 130301312331331. The reversal of 130301312331300 is 3133213103031.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18665076 + ... + 24677675.

It is an arithmetic number, because the mean of its divisors is an integer number (2859234663936).

Almost surely, 2130301312331300 is an apocalyptic number.

130301312331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

130301312331300 is an abundant number, since it is smaller than the sum of its proper divisors (281428479275484).

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

130301312331300 is a wasteful number, since it uses less digits than its factorization.

130301312331300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43343690 (or 43343683 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 24.

Adding to 130301312331300 its reverse (3133213103031), we get a palindrome (133434525434331).

The spelling of 130301312331300 in words is "one hundred thirty trillion, three hundred one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 911 1100 1650 1822 2733 3300 3644 4555 5466 9110 10021 10932 13665 18220 20042 22775 27330 30063 40084 45550 50105 54660 60126 68325 91100 100210 120252 136650 150315 200420 250525 273300 300630 501050 601260 751575 1002100 1503150 3006300 43342751 86685502 130028253 173371004 216713755 260056506 433427510 476770261 520113012 650141265 866855020 953540522 1083568775 1300282530 1430310783 1907081044 2167137550 2383851305 2600565060 2860621566 3250706325 4334275100 4767702610 5721243132 6501412650 7151553915 9535405220 11919256525 13002825300 14303107830 23838513050 28606215660 35757769575 39485246161 47677026100 71515539150 78970492322 118455738483 143031078300 157940984644 197426230805 236911476966 394852461610 434337707771 473822953932 592278692415 789704923220 868675415542 987131154025 1184557384830 1303013123313 1737350831084 1974262308050 2171688538855 2369114769660 2606026246626 2961393462075 3948524616100 4343377077710 5212052493252 5922786924150 6515065616565 8686754155420 10858442694275 11845573848300 13030131233130 21716885388550 26060262466260 32575328082825 43433770777100 65150656165650 130301312331300