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20012221100200 = 23527761224683
BaseRepresentation
bin1001000110011011101010…
…10101000111000010101000
32121212011001002121201110111
410203031311111013002220
510110340012100201300
6110321253142424104
74133556331453420
oct443156525070250
977764032551414
1020012221100200
11641615410354a
1222b2604432034
13b221b51ac984
144d284d391480
1524a86cc2c9ba
hex1233755470a8

20012221100200 has 144 divisors (see below), whose sum is σ = 53247454935840. Its totient is φ = 6852039129600.

The previous prime is 20012221100197. The next prime is 20012221100203. The reversal of 20012221100200 is 200112221002.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (20012221100197) and next prime (20012221100203).

It is not an unprimeable number, because it can be changed into a prime (20012221100203) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 810757059 + ... + 810781741.

It is an arithmetic number, because the mean of its divisors is an integer number (369773992610).

Almost surely, 220012221100200 is an apocalyptic number.

20012221100200 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 20012221100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26623727467920).

20012221100200 is an abundant number, since it is smaller than the sum of its proper divisors (33235233835640).

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

20012221100200 is an equidigital number, since it uses as much as digits as its factorization.

20012221100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26228 (or 25458 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20012221100200 its reverse (200112221002), we get a palindrome (20212333321202).

The spelling of 20012221100200 in words is "twenty trillion, twelve billion, two hundred twenty-one million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 175 200 280 350 700 761 1400 1522 3044 3805 5327 6088 7610 10654 15220 19025 21308 24683 26635 30440 38050 42616 49366 53270 76100 98732 106540 123415 133175 152200 172781 197464 213080 246830 266350 345562 493660 532700 579121 617075 691124 863905 987320 1065400 1158242 1234150 1382248 1727810 2316484 2468300 2895605 3455620 4053847 4319525 4632968 4936600 5791210 6911240 8107694 8639050 11582420 14478025 16215388 17278100 18783763 20269235 23164840 28956050 32430776 34556200 37567526 40538470 57912100 75135052 81076940 93918815 101346175 115824200 131486341 150270104 162153880 187837630 202692350 262972682 375675260 405384700 469594075 525945364 657431705 751350520 810769400 939188150 1051890728 1314863410 1878376300 2629726820 3287158525 3756752600 5259453640 6574317050 13148634100 14294443643 26297268200 28588887286 57177774572 71472218215 100061105501 114355549144 142944436430 200122211002 285888872860 357361091075 400244422004 500305527505 571777745720 714722182150 800488844008 1000611055010 1429444364300 2001222110020 2501527637525 2858888728600 4002444220040 5003055275050 10006110550100 20012221100200