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11233332331020 = 223251091673428413
BaseRepresentation
bin1010001101110111011011…
…0010001000001000001100
31110202220012020121012222100
42203131312302020020030
52433021331034043040
635520304401115100
72236403306236062
oct243356662101014
943686166535870
1011233332331020
113641036280818
121315118328a90
136363b62ca607
142ab9a6496032
15147311094b30
hexa3776c8820c

11233332331020 has 144 divisors (see below), whose sum is σ = 34592971533120. Its totient is φ = 2950299376128.

The previous prime is 11233332331007. The next prime is 11233332331021. The reversal of 11233332331020 is 2013323333211.

11233332331020 is a `hidden beast` number, since 1 + 1 + 2 + 3 + 3 + 3 + 323 + 310 + 20 = 666.

It is not an unprimeable number, because it can be changed into a prime (11233332331021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1562334 + ... + 4990746.

It is an arithmetic number, because the mean of its divisors is an integer number (240228968980).

Almost surely, 211233332331020 is an apocalyptic number.

11233332331020 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 11233332331020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17296485766560).

11233332331020 is an abundant number, since it is smaller than the sum of its proper divisors (23359639202100).

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

11233332331020 is a wasteful number, since it uses less digits than its factorization.

11233332331020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3428704 (or 3428699 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 27.

Adding to 11233332331020 its reverse (2013323333211), we get a palindrome (13246655664231).

The spelling of 11233332331020 in words is "eleven trillion, two hundred thirty-three billion, three hundred thirty-two million, three hundred thirty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 167 180 218 327 334 436 501 545 654 668 835 981 1002 1090 1308 1503 1635 1670 1962 2004 2180 2505 3006 3270 3340 3924 4905 5010 6012 6540 7515 9810 10020 15030 18203 19620 30060 36406 54609 72812 91015 109218 163827 182030 218436 273045 327654 364060 546090 655308 819135 1092180 1638270 3276540 3428413 6856826 10285239 13713652 17142065 20570478 30855717 34284130 41140956 51426195 61711434 68568260 102852390 123422868 154278585 205704780 308557170 373697017 572544971 617114340 747394034 1121091051 1145089942 1494788068 1717634913 1868485085 2242182102 2290179884 2862724855 3363273153 3435269826 3736970170 4484364204 5152904739 5605455255 5725449710 6726546306 6870539652 7473940340 8588174565 10305809478 11210910510 11450899420 13453092612 16816365765 17176349130 20611618956 22421821020 25764523695 33632731530 34352698260 51529047390 62407401839 67265463060 103058094780 124814803678 187222205517 249629607356 312037009195 374444411034 561666616551 624074018390 748888822068 936111027585 1123333233102 1248148036780 1872222055170 2246666466204 2808333082755 3744444110340 5616666165510 11233332331020