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11312332423020 = 22325294789452519
BaseRepresentation
bin1010010010011101101110…
…0011100011111101101100
31111001110002220012201001200
42210213123203203331230
52440320124100014040
640020451435205500
72245201100032026
oct244473343437554
944043086181050
1011312332423020
113671595817152
1213284a52a6890
13640996228095
142b173c509016
151493d689e630
hexa49db8e3f6c

11312332423020 has 144 divisors (see below), whose sum is σ = 35504809704000. Its totient is φ = 2911985911296.

The previous prime is 11312332423003. The next prime is 11312332423037. The reversal of 11312332423020 is 2032423321311.

11312332423020 is a `hidden beast` number, since 1 + 1 + 3 + 1 + 233 + 2 + 423 + 0 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (11312332423003) and next prime (11312332423037).

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, 24772321 + ... + 25224839.

It is an arithmetic number, because the mean of its divisors is an integer number (246561178500).

Almost surely, 211312332423020 is an apocalyptic number.

11312332423020 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 11312332423020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17752404852000).

11312332423020 is an abundant number, since it is smaller than the sum of its proper divisors (24192477280980).

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

11312332423020 is a wasteful number, since it uses less digits than its factorization.

11312332423020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 457352 (or 457347 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 11312332423020 its reverse (2032423321311), we get a palindrome (13344755744331).

The spelling of 11312332423020 in words is "eleven trillion, three hundred twelve billion, three hundred thirty-two million, four hundred twenty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 116 145 174 180 261 290 348 435 522 580 870 1044 1305 1740 2610 4789 5220 9578 14367 19156 23945 28734 43101 47890 57468 71835 86202 95780 138881 143670 172404 215505 277762 287340 416643 431010 452519 555524 694405 833286 862020 905038 1249929 1357557 1388810 1666572 1810076 2083215 2262595 2499858 2715114 2777620 4072671 4166430 4525190 4999716 5430228 6249645 6787785 8145342 8332860 9050380 12499290 13123051 13575570 16290684 20363355 24998580 26246102 27151140 39369153 40726710 52492204 65615255 78738306 81453420 118107459 131230510 157476612 196845765 236214918 262461020 393691530 472429836 590537295 787383060 1181074590 2167113491 2362149180 4334226982 6501340473 8668453964 10835567455 13002680946 19504021419 21671134910 26005361892 32506702365 39008042838 43342269820 62846291239 65013404730 78016085676 97520107095 125692582478 130026809460 188538873717 195040214190 251385164956 314231456195 377077747434 390080428380 565616621151 628462912390 754155494868 942694368585 1131233242302 1256925824780 1885388737170 2262466484604 2828083105755 3770777474340 5656166211510 11312332423020