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11331130233312 = 253240351975049
BaseRepresentation
bin1010010011100011101111…
…1111100001000111100000
31111010020121221121102001200
42210320323333201013200
52441122123314431222
640033241021401200
72246434653550461
oct244707377410740
944106557542050
1011331130233312
11367956168425a
121330070709200
136426a0822956
142b2602c90d68
15149b36ceaeac
hexa4e3bfe11e0

11331130233312 has 72 divisors (see below), whose sum is σ = 32223733214400. Its totient is φ = 3776945932800.

The previous prime is 11331130233289. The next prime is 11331130233323. The reversal of 11331130233312 is 21333203113311.

11331130233312 is a `hidden beast` number, since 1 + 1 + 3 + 3 + 11 + 302 + 33 + 312 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 11133564 + ... + 12108612.

It is an arithmetic number, because the mean of its divisors is an integer number (447551850200).

Almost surely, 211331130233312 is an apocalyptic number.

11331130233312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11331130233312 is an abundant number, since it is smaller than the sum of its proper divisors (20892602981088).

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

11331130233312 is a wasteful number, since it uses less digits than its factorization.

11331130233312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1015416 (or 1015405 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 27.

Adding to 11331130233312 its reverse (21333203113311), we get a palindrome (32664333346623).

The spelling of 11331130233312 in words is "eleven trillion, three hundred thirty-one billion, one hundred thirty million, two hundred thirty-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 40351 80702 121053 161404 242106 322808 363159 484212 645616 726318 968424 975049 1291232 1452636 1936848 1950098 2905272 2925147 3873696 3900196 5810544 5850294 7800392 8775441 11621088 11700588 15600784 17550882 23401176 31201568 35101764 46802352 70203528 93604704 140407056 280814112 39344202199 78688404398 118032606597 157376808796 236065213194 314753617592 354097819791 472130426388 629507235184 708195639582 944260852776 1259014470368 1416391279164 1888521705552 2832782558328 3777043411104 5665565116656 11331130233312