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20020100222200 = 23521357011350647
BaseRepresentation
bin1001000110101010010101…
…11101100100110011111000
32121212220101012120120220211
410203111022331210303320
510111002131124102300
6110325035043400504
74134255514054531
oct443251275446370
977786335516824
1020020100222200
11641952771a521
1222b4043083134
13b22b6c67c340
144d2d99991688
1524ab7e7ec4ba
hex12354af64cf8

20020100222200 has 96 divisors (see below), whose sum is σ = 50136080772960. Its totient is φ = 7390734912000.

The previous prime is 20020100222191. The next prime is 20020100222237. The reversal of 20020100222200 is 222200102002.

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, 14147277 + ... + 15497923.

It is an arithmetic number, because the mean of its divisors is an integer number (522250841385).

Almost surely, 220020100222200 is an apocalyptic number.

20020100222200 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 20020100222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25068040386480).

20020100222200 is an abundant number, since it is smaller than the sum of its proper divisors (30115980550760).

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

20020100222200 is a wasteful number, since it uses less digits than its factorization.

20020100222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356377 (or 1356368 counting only the distinct ones).

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

Adding to 20020100222200 its reverse (222200102002), we get a palindrome (20242300324202).

The spelling of 20020100222200 in words is "twenty trillion, twenty billion, one hundred million, two 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 2600 5701 11402 22804 28505 45608 57010 74113 114020 142525 148226 228040 285050 296452 370565 570100 592904 741130 1140200 1350647 1482260 1852825 2701294 2964520 3705650 5402588 6753235 7411300 10805176 13506470 14822600 17558411 27012940 33766175 35116822 54025880 67532350 70233644 87792055 135064700 140467288 175584110 270129400 351168220 438960275 702336440 877920550 1755841100 3511682200 7700038547 15400077094 30800154188 38500192735 61600308376 77000385470 100100501111 154000770940 192500963675 200201002222 308001541880 385001927350 400402004444 500502505555 770003854700 800804008888 1001005011110 1540007709400 2002010022220 2502512527775 4004020044440 5005025055550 10010050111100 20020100222200