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10011333331120 = 2451122351015763
BaseRepresentation
bin1001000110101111000111…
…1101111000100010110000
31022110002000000220010101211
42101223301331320202300
52303011202313043440
633143050521405504
72052203113151062
oct221536175704260
938402000803354
1010011333331120
11320a867741480
12115831b339894
135780ac150c04
142687a03ab732
1512563edc6eea
hex91af1f788b0

10011333331120 has 80 divisors (see below), whose sum is σ = 25506249495552. Its totient is φ = 3624159732480.

The previous prime is 10011333331099. The next prime is 10011333331133. The reversal of 10011333331120 is 2113333311001.

10011333331120 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 (80).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 10011333331091 and 10011333331100.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25311642 + ... + 25704121.

Almost surely, 210011333331120 is an apocalyptic number.

10011333331120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011333331120 is an abundant number, since it is smaller than the sum of its proper divisors (15494916164432).

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

10011333331120 is a wasteful number, since it uses less digits than its factorization.

10011333331120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51016010 (or 51016004 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 22.

Adding to 10011333331120 its reverse (2113333311001), we get a palindrome (12124666642121).

The spelling of 10011333331120 in words is "ten trillion, eleven billion, three hundred thirty-three million, three hundred thirty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 176 220 223 440 446 880 892 1115 1784 2230 2453 3568 4460 4906 8920 9812 12265 17840 19624 24530 39248 49060 98120 196240 51015763 102031526 204063052 255078815 408126104 510157630 561173393 816252208 1020315260 1122346786 2040630520 2244693572 2805866965 4081261040 4489387144 5611733930 8978774288 11223467860 11376515149 22446935720 22753030298 44893871440 45506060596 56882575745 91012121192 113765151490 125141666639 182024242384 227530302980 250283333278 455060605960 500566666556 625708333195 910121211920 1001133333112 1251416666390 2002266666224 2502833332780 5005666665560 10011333331120