Search a number
-
+
12202021101100 = 22521957123094871
BaseRepresentation
bin1011000110010000000100…
…1000100001111000101100
31121012111112211102100210011
42301210001020201320230
53044404214400213400
641541310415223004
72366365313024365
oct261440110417054
947174484370704
1012202021101100
113984936895196
121450a00217a64
136a685166376c
1430281c28cb6c
15162608a248ba
hexb1901221e2c

12202021101100 has 144 divisors (see below), whose sum is σ = 27938624313600. Its totient is φ = 4612879584000.

The previous prime is 12202021100963. The next prime is 12202021101199. The reversal of 12202021101100 is 110112020221.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2505031665 + ... + 2505036535.

It is an arithmetic number, because the mean of its divisors is an integer number (194018224400).

Almost surely, 212202021101100 is an apocalyptic number.

12202021101100 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 12202021101100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13969312156800).

12202021101100 is an abundant number, since it is smaller than the sum of its proper divisors (15736603212500).

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

12202021101100 is a wasteful number, since it uses less digits than its factorization.

12202021101100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7784 (or 7777 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 12202021101100 its reverse (110112020221), we get a palindrome (12312133121321).

The spelling of 12202021101100 in words is "twelve trillion, two hundred two billion, twenty-one million, one hundred one thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 380 475 571 950 1142 1900 2284 2309 2855 4618 4871 5710 9236 9742 10849 11420 11545 14275 19484 21698 23090 24355 28550 43396 43871 46180 48710 54245 57100 57725 87742 92549 97420 108490 115450 121775 175484 185098 216980 219355 230900 243550 271225 370196 438710 462745 487100 542450 877420 925490 1084900 1096775 1318439 1850980 2193550 2313725 2636878 2781341 4387100 4627450 5273756 5562682 6592195 9254900 11125364 11247139 13184390 13906705 22494278 25050341 26368780 27813410 32960975 44988556 50100682 52845479 55626820 56235695 65921950 69533525 100201364 105690958 112471390 125251705 131843900 139067050 211381916 213695641 224942780 250503410 264227395 278134100 281178475 427391282 501006820 528454790 562356950 626258525 854782564 1056909580 1068478205 1124713900 1252517050 1321136975 2136956410 2505034100 2642273950 4273912820 5284547900 5342391025 6422116369 10684782050 12844232738 21369564100 25688465476 32110581845 64221163690 122020211011 128442327380 160552909225 244040422022 321105818450 488080844044 610101055055 642211636900 1220202110110 2440404220220 3050505275275 6101010550550 12202021101100