Search a number
-
+
2022001121100 = 2235279103382591
BaseRepresentation
bin11101011011001000101…
…010001001011101001100
321011022010201211121022010
4131123020222021131030
5231112024241333400
64144521113221220
7266041033643202
oct35331052113514
97138121747263
102022001121100
1170a586a127a4
12287a64101810
1311889b6b971c
146dc18843072
15378e477d450
hex1d6c8a8974c

2022001121100 has 144 divisors (see below), whose sum is σ = 5930184888320. Its totient is φ = 531853171200.

The previous prime is 2022001121099. The next prime is 2022001121159. The reversal of 2022001121100 is 11211002202.

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, 24440805 + ... + 24523395.

Almost surely, 22022001121100 is an apocalyptic number.

2022001121100 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 2022001121100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2965092444160).

2022001121100 is an abundant number, since it is smaller than the sum of its proper divisors (3908183767220).

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

2022001121100 is a wasteful number, since it uses less digits than its factorization.

2022001121100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83720 (or 83713 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 2022001121100 its reverse (11211002202), we get a palindrome (2033212123302).

The spelling of 2022001121100 in words is "two trillion, twenty-two billion, one million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 79 100 150 158 237 300 316 395 474 790 948 1033 1185 1580 1975 2066 2370 3099 3950 4132 4740 5165 5925 6198 7900 10330 11850 12396 15495 20660 23700 25825 30990 51650 61980 77475 81607 82591 103300 154950 163214 165182 244821 247773 309900 326428 330364 408035 412955 489642 495546 816070 825910 979284 991092 1224105 1238865 1632140 1651820 2040175 2064775 2448210 2477730 4080350 4129550 4896420 4955460 6120525 6194325 6524689 8160700 8259100 12241050 12388650 13049378 19574067 24482100 24777300 26098756 32623445 39148134 65246890 78296268 85316503 97870335 130493780 163117225 170633006 195740670 255949509 326234450 341266012 391481340 426582515 489351675 511899018 652468900 853165030 978703350 1023798036 1279747545 1706330060 1957406700 2132912575 2559495090 4265825150 5118990180 6398737725 6740003737 8531650300 12797475450 13480007474 20220011211 25594950900 26960014948 33700018685 40440022422 67400037370 80880044844 101100056055 134800074740 168500093425 202200112110 337000186850 404400224220 505500280275 674000373700 1011000560550 2022001121100