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11232010212120 = 2332543172389857
BaseRepresentation
bin1010001101110010011111…
…1110101001001100011000
31110202202210002210121210200
42203130213332221030120
52433011124103241440
635515525251342200
72236325453353035
oct243344776511430
943682702717720
1011232010212120
113640517a46275
121314a095b1960
13636235419939
142ab8bca5838c
15147284e85c30
hexa3727fa9318

11232010212120 has 96 divisors (see below), whose sum is σ = 36588729827520. Its totient is φ = 2988253255680.

The previous prime is 11232010212113. The next prime is 11232010212187. The reversal of 11232010212120 is 2121201023211.

11232010212120 is a `hidden beast` number, since 1 + 1 + 2 + 320 + 10 + 212 + 120 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 11232010212093 and 11232010212102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36039769 + ... + 36350088.

It is an arithmetic number, because the mean of its divisors is an integer number (381132602370).

Almost surely, 211232010212120 is an apocalyptic number.

11232010212120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232010212120 is an abundant number, since it is smaller than the sum of its proper divisors (25356719615400).

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

11232010212120 is a wasteful number, since it uses less digits than its factorization.

11232010212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72390305 (or 72390298 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11232010212120 its reverse (2121201023211), we get a palindrome (13353211235331).

The spelling of 11232010212120 in words is "eleven trillion, two hundred thirty-two billion, ten million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 431 862 1293 1724 2155 2586 3448 3879 4310 5172 6465 7758 8620 10344 12930 15516 17240 19395 25860 31032 38790 51720 77580 155160 72389857 144779714 217169571 289559428 361949285 434339142 579118856 651508713 723898570 868678284 1085847855 1303017426 1447797140 1737356568 2171695710 2606034852 2895594280 3257543565 4343391420 5212069704 6515087130 8686782840 13030174260 26060348520 31200028367 62400056734 93600085101 124800113468 156000141835 187200170202 249600226936 280800255303 312000283670 374400340404 468000425505 561600510606 624000567340 748800680808 936000851010 1123201021212 1248001134680 1404001276515 1872001702020 2246402042424 2808002553030 3744003404040 5616005106060 11232010212120