Search a number
-
+
11232211022000 = 24535995188229
BaseRepresentation
bin1010001101110011001111…
…1100101011000010110000
31110202210022002122211011122
42203130303330223002300
52433012032010201000
635520001223401412
72236333442252423
oct243346374530260
943683262584148
1011232211022000
113640610331751
121314a648b3268
13636267bc8757
142ab8db5ab9ba
15147297900085
hexa3733f2b0b0

11232211022000 has 80 divisors (see below), whose sum is σ = 27619816816800. Its totient is φ = 4416733779200.

The previous prime is 11232211021981. The next prime is 11232211022023. The reversal of 11232211022000 is 22011223211.

11232211022000 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 self number, because there is not a number n which added to its sum of digits gives 11232211022000.

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, 47476115 + ... + 47712114.

It is an arithmetic number, because the mean of its divisors is an integer number (345247710210).

Almost surely, 211232211022000 is an apocalyptic number.

11232211022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232211022000 is an abundant number, since it is smaller than the sum of its proper divisors (16387605794800).

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

11232211022000 is an equidigital number, since it uses as much as digits as its factorization.

11232211022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95188311 (or 95188295 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 11232211022000 its reverse (22011223211), we get a palindrome (11254222245211).

The spelling of 11232211022000 in words is "eleven trillion, two hundred thirty-two billion, two hundred eleven million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 250 295 400 472 500 590 944 1000 1180 1475 2000 2360 2950 4720 5900 7375 11800 14750 23600 29500 59000 118000 95188229 190376458 380752916 475941145 761505832 951882290 1523011664 1903764580 2379705725 3807529160 4759411450 5616105511 7615058320 9518822900 11232211022 11898528625 19037645800 22464422044 23797057250 28080527555 38075291600 44928844088 47594114500 56161055110 89857688176 95188229000 112322110220 140402637775 190376458000 224644220440 280805275550 449288440880 561610551100 702013188875 1123221102200 1404026377750 2246442204400 2808052755500 5616105511000 11232211022000