Search a number
-
+
11331121132332 = 223217295910821101
BaseRepresentation
bin1010010011100011101101…
…1100110011001100101100
31111010020121022111000212100
42210320323130303030230
52441122114002213312
640033240054335100
72246434513314141
oct244707334631454
944106538430770
1011331121132332
113679557528591
12133006965a490
1364269b987361
142b26019a23c8
15149b360ee5dc
hexa4e3b73332c

11331121132332 has 144 divisors (see below), whose sum is σ = 31904937136800. Its totient is φ = 3374105548800.

The previous prime is 11331121132319. The next prime is 11331121132343. The reversal of 11331121132332 is 23323112113311.

11331121132332 is a `hidden beast` number, since 1 + 1 + 3 + 311 + 2 + 1 + 13 + 2 + 332 = 666.

It is a super-2 number, since 2×113311211323322 (a number of 27 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 11331121132296 and 11331121132305.

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 47 ways as a sum of consecutive naturals, for example, 4363419 + ... + 6457682.

It is an arithmetic number, because the mean of its divisors is an integer number (221562063450).

Almost surely, 211331121132332 is an apocalyptic number.

11331121132332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331121132332 is an abundant number, since it is smaller than the sum of its proper divisors (20573816004468).

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

11331121132332 is a wasteful number, since it uses less digits than its factorization.

11331121132332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10821216 (or 10821211 counting only the distinct ones).

The product of its digits is 1944, while the sum is 27.

Adding to 11331121132332 its reverse (23323112113311), we get a palindrome (34654233245643).

The spelling of 11331121132332 in words is "eleven trillion, three hundred thirty-one billion, one hundred twenty-one million, one hundred thirty-two thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 17 18 29 34 36 51 58 59 68 87 102 116 118 153 174 177 204 236 261 306 348 354 493 522 531 612 708 986 1003 1044 1062 1479 1711 1972 2006 2124 2958 3009 3422 4012 4437 5133 5916 6018 6844 8874 9027 10266 12036 15399 17748 18054 20532 29087 30798 36108 58174 61596 87261 116348 174522 261783 349044 523566 1047132 10821101 21642202 32463303 43284404 64926606 97389909 129853212 183958717 194779818 313811929 367917434 389559636 551876151 627623858 638444959 735834868 941435787 1103752302 1255247716 1276889918 1655628453 1882871574 1915334877 2207504604 2553779836 2824307361 3311256906 3765743148 3830669754 5334802793 5648614722 5746004631 6622513812 7661339508 10669605586 10853564303 11297229444 11492009262 16004408379 18514903811 21339211172 21707128606 22984018524 32008816758 32560692909 37029807622 43414257212 48013225137 55544711433 64017633516 65121385818 74059615244 96026450274 97682078727 111089422866 130242771636 166634134299 192052900548 195364157454 222178845732 314753364787 333268268598 390728314908 629506729574 666536537196 944260094361 1259013459148 1888520188722 2832780283083 3777040377444 5665560566166 11331121132332