Search a number
-
+
2020200122200 = 2352132273341839
BaseRepresentation
bin11101011001011101010…
…011111000011101011000
321011010111012221101021011
4131121131103320131120
5231044332212402300
64144022255423304
7265645304465431
oct35313523703530
97133435841234
102020200122200
11709842336657
12287640b24b34
13118672539ac0
146dac758a488
153783b5c8eba
hex1d65d4f8758

2020200122200 has 96 divisors (see below), whose sum is σ = 5060510481600. Its totient is φ = 745589698560.

The previous prime is 2020200122173. The next prime is 2020200122243. The reversal of 2020200122200 is 22210020202.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5738881 + ... + 6080719.

It is an arithmetic number, because the mean of its divisors is an integer number (52713650850).

Almost surely, 22020200122200 is an apocalyptic number.

2020200122200 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 2020200122200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2530255240800).

2020200122200 is an abundant number, since it is smaller than the sum of its proper divisors (3040310359400).

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

2020200122200 is a wasteful number, since it uses less digits than its factorization.

2020200122200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344141 (or 344132 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 2020200122200 its reverse (22210020202), we get a palindrome (2042410142402).

The spelling of 2020200122200 in words is "two trillion, twenty billion, two hundred million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 20 25 26 40 50 52 65 100 104 130 200 260 325 520 650 1300 2273 2600 4546 9092 11365 18184 22730 29549 45460 56825 59098 90920 113650 118196 147745 227300 236392 295490 341839 454600 590980 683678 738725 1181960 1367356 1477450 1709195 2734712 2954900 3418390 4443907 5909800 6836780 8545975 8887814 13673560 17091950 17775628 22219535 34183900 35551256 44439070 68367800 88878140 111097675 177756280 222195350 444390700 777000047 888781400 1554000094 3108000188 3885000235 6216000376 7770000470 10101000611 15540000940 19425001175 20202001222 31080001880 38850002350 40404002444 50505003055 77700004700 80808004888 101010006110 155400009400 202020012220 252525015275 404040024440 505050030550 1010100061100 2020200122200