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131331013212300 = 2235211159724920023
BaseRepresentation
bin11101110111000111100010…
…011000111111100010001100
3122020000010022010012011100120
4131313013202120333202030
5114203211403340243200
61143152345022224540
736443231636301546
oct3567074230774214
9566003263164316
10131331013212300
1138934196190890
12128909b6725150
1358385cc929605
14246065257c696
15102b34b0389a0
hex7771e263f88c

131331013212300 has 144 divisors (see below), whose sum is σ = 414788018034432. Its totient is φ = 31817884089600.

The previous prime is 131331013212281. The next prime is 131331013212361. The reversal of 131331013212300 is 3212310133131.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7189912 + ... + 17730111.

Almost surely, 2131331013212300 is an apocalyptic number.

131331013212300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131331013212300 is an abundant number, since it is smaller than the sum of its proper divisors (283457004822132).

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

131331013212300 is a wasteful number, since it uses less digits than its factorization.

131331013212300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24921648 (or 24921641 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 24.

Adding to 131331013212300 its reverse (3212310133131), we get a palindrome (134543323345431).

The spelling of 131331013212300 in words is "one hundred thirty-one trillion, three hundred thirty-one billion, thirteen million, two hundred twelve 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 1100 1597 1650 3194 3300 4791 6388 7985 9582 15970 17567 19164 23955 31940 35134 39925 47910 52701 70268 79850 87835 95820 105402 119775 159700 175670 210804 239550 263505 351340 439175 479100 527010 878350 1054020 1317525 1756700 2635050 5270100 24920023 49840046 74760069 99680092 124600115 149520138 249200230 274120253 299040276 373800345 498400460 548240506 623000575 747600690 822360759 1096481012 1246001150 1370601265 1495201380 1644721518 1869001725 2492002300 2741202530 3289443036 3738003450 4111803795 5482405060 6853006325 7476006900 8223607590 13706012650 16447215180 20559018975 27412025300 39797276731 41118037950 79594553462 82236075900 119391830193 159189106924 198986383655 238783660386 397972767310 437770044041 477567320772 596959150965 795945534620 875540088082 994931918275 1193918301930 1313310132123 1751080176164 1989863836550 2188850220205 2387836603860 2626620264246 2984795754825 3979727673100 4377700440410 5253240528492 5969591509650 6566550660615 8755400880820 10944251101025 11939183019300 13133101321230 21888502202050 26266202642460 32832753303075 43777004404100 65665506606150 131331013212300