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20020212220200 = 2335282940249723
BaseRepresentation
bin1001000110101010100011…
…01000110100000100101000
32121212220200000022200021220
410203111101220310010220
510111002343312021300
6110325054124102040
74134261344040363
oct443252150640450
977786600280256
1020020212220200
116419584966255
1222b4074694920
13b22b89933c4a
144d2daa7c70da
1524ab89571da0
hex123551a34128

20020212220200 has 96 divisors (see below), whose sum is σ = 62137523911200. Its totient is φ = 5332283170560.

The previous prime is 20020212220199. The next prime is 20020212220301. The reversal of 20020212220200 is 202221202002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 20020212220200.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19627462 + ... + 20622261.

It is an arithmetic number, because the mean of its divisors is an integer number (647265874075).

Almost surely, 220020212220200 is an apocalyptic number.

20020212220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020212220200 is an abundant number, since it is smaller than the sum of its proper divisors (42117311691000).

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

20020212220200 is a wasteful number, since it uses less digits than its factorization.

20020212220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40250571 (or 40250562 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 20020212220200 its reverse (202221202002), we get a palindrome (20222433422202).

The spelling of 20020212220200 in words is "twenty trillion, twenty billion, two hundred twelve million, two hundred twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 829 1658 2487 3316 4145 4974 6632 8290 9948 12435 16580 19896 20725 24870 33160 41450 49740 62175 82900 99480 124350 165800 248700 497400 40249723 80499446 120749169 160998892 201248615 241498338 321997784 402497230 482996676 603745845 804994460 965993352 1006243075 1207491690 1609988920 2012486150 2414983380 3018729225 4024972300 4829966760 6037458450 8049944600 12074916900 24149833800 33367020367 66734040734 100101061101 133468081468 166835101835 200202122202 266936162936 333670203670 400404244404 500505305505 667340407340 800808488808 834175509175 1001010611010 1334680814680 1668351018350 2002021222020 2502526527525 3336702036700 4004042444040 5005053055050 6673404073400 10010106110100 20020212220200