Search a number
-
+
11032123220000 = 2554727758743
BaseRepresentation
bin1010000010001001110111…
…0010010010000000100000
31110001122211122011022222022
42200202131302102000200
52421222242021020000
635244030515401012
72216021204066051
oct240423562220040
943048748138868
1011032123220000
113573773a50613
1212a21238b3168
1362042b646c3c
142a1d59992728
15141e868d5585
hexa089dc92020

11032123220000 has 120 divisors (see below), whose sum is σ = 27178046191296. Its totient is φ = 4406773536000.

The previous prime is 11032123219991. The next prime is 11032123220023. The reversal of 11032123220000 is 2232123011.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 14160629 + ... + 14919371.

Almost surely, 211032123220000 is an apocalyptic number.

11032123220000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11032123220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13589023095648).

11032123220000 is an abundant number, since it is smaller than the sum of its proper divisors (16145922971296).

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

11032123220000 is an frugal number, since it uses more digits than its factorization.

11032123220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 759500 (or 759477 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 11032123220000 its reverse (2232123011), we get a palindrome (11034355343011).

The spelling of 11032123220000 in words is "eleven trillion, thirty-two billion, one hundred twenty-three million, two hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 727 800 1000 1250 1454 2000 2500 2908 3635 4000 5000 5816 7270 10000 11632 14540 18175 20000 23264 29080 36350 58160 72700 90875 116320 145400 181750 290800 363500 454375 581600 727000 758743 908750 1454000 1517486 1817500 2908000 3034972 3635000 3793715 6069944 7270000 7587430 12139888 14540000 15174860 18968575 24279776 30349720 37937150 60699440 75874300 94842875 121398880 151748600 189685750 303497200 379371500 474214375 551606161 606994400 758743000 948428750 1103212322 1517486000 1896857500 2206424644 2758030805 3034972000 3793715000 4412849288 5516061610 7587430000 8825698576 11032123220 13790154025 15174860000 17651397152 22064246440 27580308050 44128492880 55160616100 68950770125 88256985760 110321232200 137901540250 220642464400 275803080500 344753850625 441284928800 551606161000 689507701250 1103212322000 1379015402500 2206424644000 2758030805000 5516061610000 11032123220000