Search a number
-
+
11232112032020 = 225113710113662043
BaseRepresentation
bin1010001101110010111000…
…0011000011100100010100
31110202210001012101121110002
42203130232003003210110
52433011331140011040
635515543325550432
72236331130665045
oct243345603034424
943683035347402
1011232112032020
11364056a470050
121314a37715418
136362505498b9
142ab8cc3a08cc
1514728dd99a15
hexa372e0c3914

11232112032020 has 96 divisors (see below), whose sum is σ = 26688857602176. Its totient is φ = 3934668096000.

The previous prime is 11232112031993. The next prime is 11232112032061. The reversal of 11232112032020 is 2023021123211.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 11232112031983 and 11232112032001.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6008882 + ... + 7653161.

It is an arithmetic number, because the mean of its divisors is an integer number (278008933356).

Almost surely, 211232112032020 is an apocalyptic number.

11232112032020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11232112032020 is an abundant number, since it is smaller than the sum of its proper divisors (15456745570156).

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

11232112032020 is a wasteful number, since it uses less digits than its factorization.

11232112032020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13662201 (or 13662199 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 11232112032020 its reverse (2023021123211), we get a palindrome (13255133155231).

The spelling of 11232112032020 in words is "eleven trillion, two hundred thirty-two billion, one hundred twelve million, thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 37 44 55 74 101 110 148 185 202 220 370 404 407 505 740 814 1010 1111 1628 2020 2035 2222 3737 4070 4444 5555 7474 8140 11110 14948 18685 22220 37370 41107 74740 82214 164428 205535 411070 822140 13662043 27324086 54648172 68310215 136620430 150282473 273240860 300564946 505495591 601129892 751412365 1010991182 1379866343 1502824730 2021982364 2527477955 2759732686 3005649460 5054955910 5519465372 5560451501 6899331715 10109911820 11120903002 13798663430 15178529773 22241806004 27597326860 27802257505 30357059546 51055054691 55604515010 60714119092 75892648865 102110109382 111209030020 151785297730 204220218764 255275273455 303570595460 510550546910 561605601601 1021101093820 1123211203202 2246422406404 2808028008005 5616056016010 11232112032020