Search a number
-
+
2022200201100 = 2235279107797429
BaseRepresentation
bin11101011011010100100…
…001100100111110001100
321011022122121102220201110
4131123110201210332030
5231112431222413400
64144552544212020
7266046002046312
oct35332441447614
97138577386643
102022200201100
1170a679327522
12287aba90a010
13118900a11041
146dc370660b2
1537906ea4e50
hex1d6d4864f8c

2022200201100 has 144 divisors (see below), whose sum is σ = 5980342233600. Its totient is φ = 527450776320.

The previous prime is 2022200201059. The next prime is 2022200201111. The reversal of 2022200201100 is 11020022202.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 2137186 + ... + 2934614.

It is an arithmetic number, because the mean of its divisors is an integer number (41530154400).

Almost surely, 22022200201100 is an apocalyptic number.

2022200201100 is a gapful number since it is divisible by the number (20) 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 2022200201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2990171116800).

2022200201100 is an abundant number, since it is smaller than the sum of its proper divisors (3958142032500).

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

2022200201100 is a wasteful number, since it uses less digits than its factorization.

2022200201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797632 (or 797625 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 2022200201100 its reverse (11020022202), we get a palindrome (2033220223302).

The spelling of 2022200201100 in words is "two trillion, twenty-two billion, two hundred million, two hundred one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 107 150 158 214 237 300 316 321 395 428 474 535 642 790 948 1070 1185 1284 1580 1605 1975 2140 2370 2675 3210 3950 4740 5350 5925 6420 7900 8025 8453 10700 11850 16050 16906 23700 25359 32100 33812 42265 50718 84530 101436 126795 169060 211325 253590 422650 507180 633975 797429 845300 1267950 1594858 2392287 2535900 3189716 3987145 4784574 7974290 9569148 11961435 15948580 19935725 23922870 39871450 47845740 59807175 62996891 79742900 85324903 119614350 125993782 170649806 188990673 239228700 251987564 255974709 314984455 341299612 377981346 426624515 511949418 629968910 755962692 853249030 944953365 1023898836 1259937820 1279873545 1574922275 1706498060 1889906730 2133122575 2559747090 3149844550 3779813460 4266245150 4724766825 5119494180 6299689100 6399367725 6740667337 8532490300 9449533650 12798735450 13481334674 18899067300 20222002011 25597470900 26962669348 33703336685 40444004022 67406673370 80888008044 101110010055 134813346740 168516683425 202220020110 337033366850 404440040220 505550050275 674066733700 1011100100550 2022200201100