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113131011033300 = 2235213171706350091
BaseRepresentation
bin11001101110010001011101…
…101110011100100011010100
3112211120012220200012010010210
4121232101131232130203110
5104312014302311031200
61040335400300245420
732554305626264151
oct3156213556344324
9484505820163123
10113131011033300
1133057657455307
121083166a840870
134b182932a7030
141dd17da6c3228
15d12be592a650
hex66e45db9c8d4

113131011033300 has 144 divisors (see below), whose sum is σ = 373240193723712. Its totient is φ = 26209537382400.

The previous prime is 113131011033251. The next prime is 113131011033367. The reversal of 113131011033300 is 3330110131311.

It is a congruent number.

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, 853108746 + ... + 853241345.

It is an arithmetic number, because the mean of its divisors is an integer number (2591945789748).

Almost surely, 2113131011033300 is an apocalyptic number.

113131011033300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113131011033300 is an abundant number, since it is smaller than the sum of its proper divisors (260109182690412).

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

113131011033300 is a wasteful number, since it uses less digits than its factorization.

113131011033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1706350138 (or 1706350131 counting only the distinct ones).

The product of its (nonzero) digits is 243, while the sum is 21.

Adding to 113131011033300 its reverse (3330110131311), we get a palindrome (116461121164611).

The spelling of 113131011033300 in words is "one hundred thirteen trillion, one hundred thirty-one billion, eleven million, thirty-three thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 17 20 25 26 30 34 39 50 51 52 60 65 68 75 78 85 100 102 130 150 156 170 195 204 221 255 260 300 325 340 390 425 442 510 650 663 780 850 884 975 1020 1105 1275 1300 1326 1700 1950 2210 2550 2652 3315 3900 4420 5100 5525 6630 11050 13260 16575 22100 33150 66300 1706350091 3412700182 5119050273 6825400364 8531750455 10238100546 17063500910 20476201092 22182551183 25595251365 29007951547 34127001820 42658752275 44365102366 51190502730 58015903094 66547653549 85317504550 87023854641 88730204732 102381005460 110912755915 116031806188 127976256825 133095307098 145039757735 170635009100 174047709282 221825511830 255952513650 266190614196 290079515470 332738267745 348095418564 377103370111 435119273205 443651023660 511905027300 554563779575 580159030940 665476535490 725198788675 754206740222 870238546410 1109127559150 1131310110333 1330953070980 1450397577350 1508413480444 1663691338725 1740477092820 1885516850555 2175596366025 2218255118300 2262620220666 2900795154700 3327382677450 3771033701110 4351192732050 4525240441332 5656550551665 6654765354900 7542067402220 8702385464100 9427584252775 11313101103330 18855168505550 22626202206660 28282752758325 37710337011100 56565505516650 113131011033300