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11242300314300 = 22352115236513877
BaseRepresentation
bin1010001110011000110101…
…0100010001001010111100
31110210202100020102222022020
42203212031110101022330
52433143212340024200
635524350320120140
72240141452651656
oct243461524211274
943722306388266
1011242300314300
113644918494350
1213169bb766050
136371b524a9b3
142ac1b75356d6
15147688549ea0
hexa398d5112bc

11242300314300 has 144 divisors (see below), whose sum is σ = 35552641901952. Its totient is φ = 2720194617600.

The previous prime is 11242300314299. The next prime is 11242300314341. The reversal of 11242300314300 is 341300324211.

It is a happy number.

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, 1531039 + ... + 4982838.

Almost surely, 211242300314300 is an apocalyptic number.

11242300314300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11242300314300 is an abundant number, since it is smaller than the sum of its proper divisors (24310341587652).

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

11242300314300 is a wasteful number, since it uses less digits than its factorization.

11242300314300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514428 (or 6514421 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 11242300314300 its reverse (341300324211), we get a palindrome (11583600638511).

The spelling of 11242300314300 in words is "eleven trillion, two hundred forty-two billion, three hundred million, three hundred fourteen thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 523 550 660 825 1046 1100 1569 1650 2092 2615 3138 3300 5230 5753 6276 7845 10460 11506 13075 15690 17259 23012 26150 28765 31380 34518 39225 52300 57530 69036 78450 86295 115060 143825 156900 172590 287650 345180 431475 575300 862950 1725900 6513877 13027754 19541631 26055508 32569385 39083262 65138770 71652647 78166524 97708155 130277540 143305294 162846925 195416310 214957941 286610588 325693850 358263235 390832620 429915882 488540775 651387700 716526470 859831764 977081550 1074789705 1433052940 1791316175 1954163100 2149579410 3406757671 3582632350 4299158820 5373948525 6813515342 7165264700 10220273013 10747897050 13627030684 17033788355 20440546026 21495794100 34067576710 37474334381 40881092052 51101365065 68135153420 74948668762 85168941775 102202730130 112423003143 149897337524 170337883550 187371671905 204405460260 224846006286 255506825325 340675767100 374743343810 449692012572 511013650650 562115015715 749486687620 936858359525 1022027301300 1124230031430 1873716719050 2248460062860 2810575078575 3747433438100 5621150157150 11242300314300