Search a number
-
+
21220102112000 = 28531160284381
BaseRepresentation
bin1001101001100101100001…
…01001100000001100000000
32210010121210101211201012212
410310302300221200030000
510240132232120041000
6113044214052441252
74320046624611311
oct464626051401400
983117711751185
1021220102112000
116841438487430
122468721319228
13bac07c47926c
145350b644c608
1526beb475cc35
hex134cb0a60300

21220102112000 has 144 divisors (see below), whose sum is σ = 57667557546144. Its totient is φ = 7716400640000.

The previous prime is 21220102111991. The next prime is 21220102112017. The reversal of 21220102112000 is 21120102212.

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, 29790191 + ... + 30494190.

It is an arithmetic number, because the mean of its divisors is an integer number (400469149626).

Almost surely, 221220102112000 is an apocalyptic number.

21220102112000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21220102112000 is an abundant number, since it is smaller than the sum of its proper divisors (36447455434144).

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

21220102112000 is an equidigital number, since it uses as much as digits as its factorization.

21220102112000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60284423 (or 60284399 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 21220102112000 its reverse (21120102212), we get a palindrome (21241222214212).

The spelling of 21220102112000 in words is "twenty-one trillion, two hundred twenty billion, one hundred two million, one hundred twelve thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 256 275 320 352 400 440 500 550 640 704 800 880 1000 1100 1280 1375 1408 1600 1760 2000 2200 2750 2816 3200 3520 4000 4400 5500 6400 7040 8000 8800 11000 14080 16000 17600 22000 32000 35200 44000 70400 88000 176000 352000 60284381 120568762 241137524 301421905 482275048 602843810 663128191 964550096 1205687620 1326256382 1507109525 1929100192 2411375240 2652512764 3014219050 3315640955 3858200384 4822750480 5305025528 6028438100 6631281910 7535547625 7716400768 9645500960 10610051056 12056876200 13262563820 15071095250 15432801536 16578204775 19291001920 21220102112 24113752400 26525127640 30142190500 33156409550 38582003840 42440204224 48227504800 53050255280 60284381000 66312819100 77164007680 82891023875 84880408448 96455009600 106100510560 120568762000 132625638200 165782047750 169760816896 192910019200 212201021120 241137524000 265251276400 331564095500 385820038400 424402042240 482275048000 530502552800 663128191000 848804084480 964550096000 1061005105600 1326256382000 1929100192000 2122010211200 2652512764000 4244020422400 5305025528000 10610051056000 21220102112000