Search a number
-
+
11333032123104 = 253257116890353
BaseRepresentation
bin1010010011101010110101…
…0110101001101011100000
31111010102112111100102101100
42210322231112221223200
52441140022210414404
640034153441434400
72246533046420616
oct244725526515340
944112474312340
1011333032123104
11367a3482001aa
12133050163ba00
13642914868723
142b27436cb6b6
15149be8c7dd39
hexa4ead5a9ae0

11333032123104 has 72 divisors (see below), whose sum is σ = 32233957977312. Its totient is φ = 3777015352320.

The previous prime is 11333032123103. The next prime is 11333032123163. The reversal of 11333032123104 is 40132123033311.

11333032123104 is a `hidden beast` number, since 1 + 1 + 3 + 330 + 3 + 2 + 12 + 310 + 4 = 666.

11333032123104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11333032123103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1800409 + ... + 5089944.

It is an arithmetic number, because the mean of its divisors is an integer number (447693860796).

Almost surely, 211333032123104 is an apocalyptic number.

It is an amenable number.

11333032123104 is an abundant number, since it is smaller than the sum of its proper divisors (20900925854208).

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

11333032123104 is a wasteful number, since it uses less digits than its factorization.

11333032123104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6896080 (or 6896069 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 11333032123104 its reverse (40132123033311), we get a palindrome (51465155156415).

The spelling of 11333032123104 in words is "eleven trillion, three hundred thirty-three billion, thirty-two million, one hundred twenty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 5711 11422 17133 22844 34266 45688 51399 68532 91376 102798 137064 182752 205596 274128 411192 548256 822384 1644768 6890353 13780706 20671059 27561412 41342118 55122824 62013177 82684236 110245648 124026354 165368472 220491296 248052708 330736944 496105416 661473888 992210832 1984421664 39350805983 78701611966 118052417949 157403223932 236104835898 314806447864 354157253847 472209671796 629612895728 708314507694 944419343592 1259225791456 1416629015388 1888838687184 2833258030776 3777677374368 5666516061552 11333032123104