Search a number
-
+
11332110220032 = 28372107907407
BaseRepresentation
bin1010010011100111011001…
…1001110111101100000000
31111010100011020121220010010
42210321312121313230000
52441131130204020112
640033522150104520
72246501153365560
oct244716631675400
944110136556103
1011332110220032
113679a14878838
1213302a494b140
136427c8873654
142b26970acda0
15149b92d7763c
hexa4e76677b00

11332110220032 has 72 divisors (see below), whose sum is σ = 34468501935616. Its totient is φ = 3237745775616.

The previous prime is 11332110220021. The next prime is 11332110220061. The reversal of 11332110220032 is 23002201123311.

11332110220032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 11332110219990 and 11332110220008.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1053948328 + ... + 1053959079.

Almost surely, 211332110220032 is an apocalyptic number.

11332110220032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11332110220032 is an abundant number, since it is smaller than the sum of its proper divisors (23136391715584).

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

11332110220032 is an equidigital number, since it uses as much as digits as its factorization.

11332110220032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2107907433 (or 2107907419 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 11332110220032 its reverse (23002201123311), we get a palindrome (34334311343343).

The spelling of 11332110220032 in words is "eleven trillion, three hundred thirty-two billion, one hundred ten million, two hundred twenty thousand, thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 672 768 896 1344 1792 2688 5376 2107907407 4215814814 6323722221 8431629628 12647444442 14755351849 16863259256 25294888884 29510703698 33726518512 44266055547 50589777768 59021407396 67453037024 88532111094 101179555536 118042814792 134906074048 177064222188 202359111072 236085629584 269812148096 354128444376 404718222144 472171259168 539624296192 708256888752 809436444288 944342518336 1416513777504 1618872888576 1888685036672 2833027555008 3777370073344 5666055110016 11332110220032