Search a number
-
+
202220112211100 = 225217133098937787
BaseRepresentation
bin101101111110101100001001…
…111101000110110010011100
3222112000001110022102202222022
4231332230021331012302130
5203001133242211223400
61554030345335035312
760410630615614544
oct5576541175066234
9875001408382868
10202220112211100
11594850825261a5
121a81b74250bb38
1388ab375847939
1437d171172a324
15185a321024b85
hexb7eb09f46c9c

202220112211100 has 72 divisors (see below), whose sum is σ = 464665409041680. Its totient is φ = 76124195896320.

The previous prime is 202220112211063. The next prime is 202220112211163. The reversal of 202220112211100 is 1112211022202.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18156407 + ... + 27094193.

It is an arithmetic number, because the mean of its divisors is an integer number (6453686236690).

Almost surely, 2202220112211100 is an apocalyptic number.

202220112211100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202220112211100 is an abundant number, since it is smaller than the sum of its proper divisors (262445296830580).

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

202220112211100 is a wasteful number, since it uses less digits than its factorization.

202220112211100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8951127 (or 8951120 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 202220112211100 its reverse (1112211022202), we get a palindrome (203332323233302).

The spelling of 202220112211100 in words is "two hundred two trillion, two hundred twenty billion, one hundred twelve million, two hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 13309 26618 53236 66545 133090 226253 266180 332725 452506 665450 905012 1131265 1330900 2262530 4525060 5656325 8937787 11312650 17875574 22625300 35751148 44688935 89377870 151942379 178755740 223444675 303884758 446889350 607769516 759711895 893778700 1519423790 3038847580 3798559475 7597118950 15194237900 118953007183 237906014366 475812028732 594765035915 1189530071830 2022201122111 2379060143660 2973825179575 4044402244222 5947650359150 8088804488444 10111005610555 11895300718300 20222011221110 40444022442220 50555028052775 101110056105550 202220112211100