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20002121202200 = 2352319193510499
BaseRepresentation
bin1001000110001000110110…
…10101000011101000011000
32121211011222012212202001012
410203010123111003220120
510110203321011432300
6110312503030513052
74133051131652564
oct443043325035030
977734865782035
1020002121202200
116411940a67705
1222b0665b05788
13b212658b6277
144d2171c666a4
1524a47b1da435
hex12311b543a18

20002121202200 has 96 divisors (see below), whose sum is σ = 48057340800000. Its totient is φ = 7734329193600.

The previous prime is 20002121202199. The next prime is 20002121202253. The reversal of 20002121202200 is 220212120002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3942551 + ... + 7453049.

It is an arithmetic number, because the mean of its divisors is an integer number (500597300000).

Almost surely, 220002121202200 is an apocalyptic number.

20002121202200 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 20002121202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24028670400000).

20002121202200 is an abundant number, since it is smaller than the sum of its proper divisors (28055219597800).

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

20002121202200 is a wasteful number, since it uses less digits than its factorization.

20002121202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3511465 (or 3511456 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 20002121202200 its reverse (220212120002), we get a palindrome (20222333322202).

The spelling of 20002121202200 in words is "twenty trillion, two billion, one hundred twenty-one million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 62 100 124 155 200 248 310 620 775 919 1240 1550 1838 3100 3676 4595 6200 7352 9190 18380 22975 28489 36760 45950 56978 91900 113956 142445 183800 227912 284890 569780 712225 1139560 1424450 2848900 3510499 5697800 7020998 14041996 17552495 28083992 35104990 70209980 87762475 108825469 140419960 175524950 217650938 351049900 435301876 544127345 702099800 870603752 1088254690 2176509380 2720636725 3226148581 4353018760 5441273450 6452297162 10882546900 12904594324 16130742905 21765093800 25809188648 32261485810 64522971620 80653714525 100010606011 129045943240 161307429050 200021212022 322614858100 400042424044 500053030055 645229716200 800084848088 1000106060110 2000212120220 2500265150275 4000424240440 5000530300550 10001060601100 20002121202200