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11123213110020 = 223251114937703251
BaseRepresentation
bin1010000111011101001100…
…1010101000101100000100
31110101100221211212012010200
42201313103022220230010
52424220320024010040
635353533352050500
72225424406300404
oct241672312505404
943340854765120
1011123213110020
1135a9367901160
1212b7905693a30
13628bb71ba24b
142a651b51a804
1514451879c630
hexa1dd32a8b04

11123213110020 has 144 divisors (see below), whose sum is σ = 37054756065600. Its totient is φ = 2678438880000.

The previous prime is 11123213109979. The next prime is 11123213110039. The reversal of 11123213110020 is 2001131232111.

11123213110020 is a `hidden beast` number, since 1 + 1 + 12 + 321 + 311 + 0 + 0 + 20 = 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 = 11123213109975 and 11123213110002.

It is an unprimeable number.

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, 18556606 + ... + 19146645.

It is an arithmetic number, because the mean of its divisors is an integer number (257324694900).

Almost surely, 211123213110020 is an apocalyptic number.

11123213110020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123213110020 is an abundant number, since it is smaller than the sum of its proper divisors (25931542955580).

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

11123213110020 is a wasteful number, since it uses less digits than its factorization.

11123213110020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37703426 (or 37703421 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 11123213110020 its reverse (2001131232111), we get a palindrome (13124344342131).

The spelling of 11123213110020 in words is "eleven trillion, one hundred twenty-three billion, two hundred thirteen million, one hundred ten thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 149 165 180 198 220 298 330 396 447 495 596 660 745 894 990 1341 1490 1639 1788 1980 2235 2682 2980 3278 4470 4917 5364 6556 6705 8195 8940 9834 13410 14751 16390 19668 24585 26820 29502 32780 49170 59004 73755 98340 147510 295020 37703251 75406502 113109753 150813004 188516255 226219506 339329259 377032510 414735761 452439012 565548765 678658518 754065020 829471522 1131097530 1244207283 1357317036 1658943044 1696646295 2073678805 2262195060 2488414566 3393292590 3732621849 4147357610 4976829132 5617784399 6221036415 6786585180 7465243698 8294715220 11235568798 12442072830 14930487396 16853353197 18663109245 22471137596 24884145660 28088921995 33706706394 37326218490 50560059591 56177843990 61795628389 67413412788 74652436980 84266765985 101120119182 112355687980 123591256778 168533531970 185386885167 202240238364 247182513556 252800297955 308978141945 337067063940 370773770334 505600595910 556160655501 617956283890 741547540668 926934425835 1011201191820 1112321311002 1235912567780 1853868851670 2224642622004 2780803277505 3707737703340 5561606555010 11123213110020