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11231133221200 = 2452192692754881
BaseRepresentation
bin1010001101101111001110…
…1101001100000101010000
31110202200111222120212102111
42203123303231030011100
52433002330101034300
635515302242355104
72236264644145144
oct243336355140520
943680458525374
1011231133221200
1136401079a9a92
12131480395ba94
1363612581b1b9
142ab8383ab224
15147232ea19ba
hexa36f3b4c150

11231133221200 has 120 divisors (see below), whose sum is σ = 28404517173120. Its totient is φ = 4255772774400.

The previous prime is 11231133221131. The next prime is 11231133221201. The reversal of 11231133221200 is 212233113211.

It is a super-2 number, since 2×112311332212002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11231133221201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 204617760 + ... + 204672640.

It is an arithmetic number, because the mean of its divisors is an integer number (236704309776).

Almost surely, 211231133221200 is an apocalyptic number.

11231133221200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11231133221200 is an abundant number, since it is smaller than the sum of its proper divisors (17173383951920).

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

11231133221200 is a wasteful number, since it uses less digits than its factorization.

11231133221200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81845 (or 81834 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

Adding to 11231133221200 its reverse (212233113211), we get a palindrome (11443366334411).

The spelling of 11231133221200 in words is "eleven trillion, two hundred thirty-one billion, one hundred thirty-three million, two hundred twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 38 40 50 76 80 95 100 152 190 200 304 380 400 475 760 950 1520 1900 3800 7600 26927 53854 54881 107708 109762 134635 215416 219524 269270 274405 430832 439048 511613 538540 548810 673175 878096 1023226 1042739 1077080 1097620 1346350 1372025 2046452 2085478 2154160 2195240 2558065 2692700 2744050 4092904 4170956 4390480 5116130 5213695 5385400 5488100 8185808 8341912 10232260 10427390 10770800 10976200 12790325 16683824 20464520 20854780 21952400 25580650 26068475 40929040 41709560 51161300 52136950 83419120 102322600 104273900 204645200 208547800 417095600 1477780687 2955561374 5911122748 7388903435 11822245496 14777806870 23644490992 28077833053 29555613740 36944517175 56155666106 59111227480 73889034350 112311332212 118222454960 140389165265 147778068700 224622664424 280778330530 295556137400 449245328848 561556661060 591112274800 701945826325 1123113322120 1403891652650 2246226644240 2807783305300 5615566610600 11231133221200