Search a number
-
+
2022001202100 = 22352111932248823
BaseRepresentation
bin11101011011001000101…
…010011101001110110100
321011022010201222201102010
4131123020222131032310
5231112024301431400
64144521115044220
7266041034431305
oct35331052351664
97138121881363
102022001202100
1170a586a68640
12287a64140670
1311889b717559
146dc188647ac
15378e4797450
hex1d6c8a9d3b4

2022001202100 has 144 divisors (see below), whose sum is σ = 6718075015680. Its totient is φ = 464383036800.

The previous prime is 2022001202093. The next prime is 2022001202101. The reversal of 2022001202100 is 12021002202.

It is a super-2 number, since 2×20220012021002 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2022001202101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16061712 + ... + 16187111.

It is an arithmetic number, because the mean of its divisors is an integer number (46653298720).

Almost surely, 22022001202100 is an apocalyptic number.

2022001202100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2022001202100 is an abundant number, since it is smaller than the sum of its proper divisors (4696073813580).

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

2022001202100 is a wasteful number, since it uses less digits than its factorization.

2022001202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32248870 (or 32248863 counting only the distinct ones).

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

Adding to 2022001202100 its reverse (12021002202), we get a palindrome (2034022204302).

The spelling of 2022001202100 in words is "two trillion, twenty-two billion, one million, two hundred two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 19 20 22 25 30 33 38 44 50 55 57 60 66 75 76 95 100 110 114 132 150 165 190 209 220 228 275 285 300 330 380 418 475 550 570 627 660 825 836 950 1045 1100 1140 1254 1425 1650 1900 2090 2508 2850 3135 3300 4180 5225 5700 6270 10450 12540 15675 20900 31350 62700 32248823 64497646 96746469 128995292 161244115 193492938 322488230 354737053 386985876 483732345 612727637 644976460 709474106 806220575 967464690 1064211159 1225455274 1418948212 1612441150 1773685265 1838182911 1934929380 2128422318 2418661725 2450910548 3063638185 3224882300 3547370530 3676365822 4256844636 4837323450 5321055795 6127276370 6740004007 7094741060 7352731644 8868426325 9190914555 9674646900 10642111590 12254552740 13480008014 15318190925 17736852650 18381829110 20220012021 21284223180 26605278975 26960016028 30636381850 33700020035 35473705300 36763658220 40440024042 45954572775 53210557950 61272763700 67400040070 80880048084 91909145550 101100060105 106421115900 134800080140 168500100175 183818291100 202200120210 337000200350 404400240420 505500300525 674000400700 1011000601050 2022001202100