Search a number
-
+
11032020333200 = 2452431657387083
BaseRepresentation
bin1010000010001001011110…
…1001110011001010010000
31110001122120110120010211002
42200202113221303022100
52421222034201130300
635244012402241132
72216015514421406
oct240422751631220
943048513503732
1011032020333200
1135737209681a9
1212a20b53561a8
13620413232489
142a1d4a04d476
15141e7c8605d5
hexa0897a73290

11032020333200 has 120 divisors (see below), whose sum is σ = 27137248441248. Its totient is φ = 4307572362240.

The previous prime is 11032020333179. The next prime is 11032020333203. The reversal of 11032020333200 is 233302023011.

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

It is not an unprimeable number, because it can be changed into a prime (11032020333203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28306859 + ... + 28693941.

Almost surely, 211032020333200 is an apocalyptic number.

11032020333200 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 11032020333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13568624220624).

11032020333200 is an abundant number, since it is smaller than the sum of its proper divisors (16105228108048).

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

11032020333200 is a wasteful number, since it uses less digits than its factorization.

11032020333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388801 (or 388790 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 11032020333200 its reverse (233302023011), we get a palindrome (11265322356211).

The spelling of 11032020333200 in words is "eleven trillion, thirty-two billion, twenty million, three hundred thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 43 50 80 86 100 172 200 215 344 400 430 688 860 1075 1657 1720 2150 3314 3440 4300 6628 8285 8600 13256 16570 17200 26512 33140 41425 66280 71251 82850 132560 142502 165700 285004 331400 356255 387083 570008 662800 712510 774166 1140016 1425020 1548332 1781275 1935415 2850040 3096664 3562550 3870830 5700080 6193328 7125100 7741660 9677075 14250200 15483320 16644569 19354150 28500400 30966640 33289138 38708300 66578276 77416600 83222845 133156552 154833200 166445690 266313104 332891380 416114225 641396531 665782760 832228450 1282793062 1331565520 1664456900 2565586124 3206982655 3328913800 5131172248 6413965310 6657827600 10262344496 12827930620 16034913275 25655861240 27580050833 32069826550 51311722480 55160101666 64139653100 110320203332 128279306200 137900254165 220640406664 256558612400 275800508330 441280813328 551601016660 689501270825 1103202033320 1379002541650 2206404066640 2758005083300 5516010166600 11032020333200