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11332102013100 = 223252111144656769
BaseRepresentation
bin1010010011100111010111…
…1010100100000010101100
31111010100010200011221022200
42210321311322210002230
52441131121103404400
640033521254141500
72246501023544631
oct244716572440254
944110120157280
1011332102013100
113679a10182850
1213302a2051890
136427c6c5bc8b
142b2695d74188
15149b922a5b00
hexa4e75ea40ac

11332102013100 has 108 divisors (see below), whose sum is σ = 38748920978040. Its totient is φ = 2747176243200.

The previous prime is 11332102013093. The next prime is 11332102013119. The reversal of 11332102013100 is 131020123311.

11332102013100 is a `hidden beast` number, since 1 + 1 + 332 + 1 + 0 + 20 + 1 + 310 + 0 = 666.

It is a super-2 number, since 2×113321020131002 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 572318485 + ... + 572338284.

Almost surely, 211332102013100 is an apocalyptic number.

11332102013100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11332102013100 is an abundant number, since it is smaller than the sum of its proper divisors (27416818964940).

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

11332102013100 is a wasteful number, since it uses less digits than its factorization.

11332102013100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1144656800 (or 1144656790 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 11332102013100 its reverse (131020123311), we get a palindrome (11463122136411).

The spelling of 11332102013100 in words is "eleven trillion, three hundred thirty-two billion, one hundred two million, thirteen thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 25 30 33 36 44 45 50 55 60 66 75 90 99 100 110 132 150 165 180 198 220 225 275 300 330 396 450 495 550 660 825 900 990 1100 1650 1980 2475 3300 4950 9900 1144656769 2289313538 3433970307 4578627076 5723283845 6867940614 10301910921 11446567690 12591224459 13735881228 17169851535 20603821842 22893135380 25182448918 28616419225 34339703070 37773673377 41207643684 50364897836 51509554605 57232838450 62956122295 68679406140 75547346754 85849257675 103019109210 113321020131 114465676900 125912244590 151094693508 171698515350 188868366885 206038218420 226642040262 251824489180 257547773025 314780611475 343397030700 377736733770 453284080524 515095546050 566605100655 629561222950 755473467540 944341834425 1030191092100 1133210201310 1259122445900 1888683668850 2266420402620 2833025503275 3777367337700 5666051006550 11332102013100