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22001221210100 = 22521187739675749
BaseRepresentation
bin1010000000010100011101…
…11110011000111111110100
32212220021222221020020221112
411000022032332120333310
510340432000112210400
6114443115501534152
74430351525444156
oct500121676307764
985807887206845
1022001221210100
117012735891070
122573b98574358
13c37924857722
14560c16d9cad6
1528248018d835
hex14028ef98ff4

22001221210100 has 144 divisors (see below), whose sum is σ = 52164494592000. Its totient is φ = 7987917427200.

The previous prime is 22001221210091. The next prime is 22001221210117. The reversal of 22001221210100 is 101212210022.

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 47 ways as a sum of consecutive naturals, for example, 3826962026 + ... + 3826967774.

Almost surely, 222001221210100 is an apocalyptic number.

22001221210100 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 22001221210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26082247296000).

22001221210100 is an abundant number, since it is smaller than the sum of its proper divisors (30163273381900).

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

22001221210100 is a wasteful number, since it uses less digits than its factorization.

22001221210100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10618 (or 10611 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 22001221210100 its reverse (101212210022), we get a palindrome (22102433420122).

The spelling of 22001221210100 in words is "twenty-two trillion, one billion, two hundred twenty-one million, two hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 877 1100 1754 3508 3967 4385 5749 7934 8770 9647 11498 15868 17540 19294 19835 21925 22996 28745 38588 39670 43637 43850 48235 57490 63239 79340 87274 87700 96470 99175 114980 126478 143725 174548 192940 198350 218185 241175 252956 287450 316195 396700 436370 482350 574900 632390 872740 964700 1090925 1264780 1580975 2181850 3161950 3479059 4363700 5041873 6323900 6958118 10083746 13916236 17395295 20167492 22806283 25209365 34790590 38269649 45612566 50418730 55460603 69581180 76539298 86976475 91225132 100837460 110921206 114031415 126046825 153078596 173952950 191348245 221842412 228062830 250869113 252093650 277303015 347905900 382696490 456125660 501738226 504187300 554606030 570157075 765392980 956741225 1003476452 1109212060 1140314150 1254345565 1386515075 1913482450 2280628300 2508691130 2773030150 3826964900 5017382260 5546060300 6271727825 12543455650 20001110191 25086911300 40002220382 80004440764 100005550955 200011101910 220012212101 400022203820 440024424202 500027754775 880048848404 1000055509550 1100061060505 2000111019100 2200122121010 4400244242020 5500305302525 11000610605050 22001221210100