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21022212021200 = 24521329139404589
BaseRepresentation
bin1001100011110100111010…
…11110101101101111010000
32202102201000002201112000122
410301322131132231233100
510223411442234134300
6112413245413205412
74266543003602135
oct461723536555720
982381002645018
1021022212021200
116775519702245
1224362b4330868
13b96503307390
145296a267658c
15266c8165bc85
hex131e9d7adbd0

21022212021200 has 120 divisors (see below), whose sum is σ = 56266480615800. Its totient is φ = 7494390650880.

The previous prime is 21022212021133. The next prime is 21022212021253. The reversal of 21022212021200 is 212021222012.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 9393048076864 + 11629163944336 = 3064808^2 + 3410156^2 .

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, 69551495 + ... + 69853094.

It is an arithmetic number, because the mean of its divisors is an integer number (468887338465).

Almost surely, 221022212021200 is an apocalyptic number.

21022212021200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21022212021200 is an abundant number, since it is smaller than the sum of its proper divisors (35244268594600).

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

21022212021200 is a wasteful number, since it uses less digits than its factorization.

21022212021200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139404649 (or 139404638 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 21022212021200 its reverse (212021222012), we get a palindrome (21234233243212).

The spelling of 21022212021200 in words is "twenty-one trillion, twenty-two billion, two hundred twelve million, twenty-one thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 29 40 50 52 58 65 80 100 104 116 130 145 200 208 232 260 290 325 377 400 464 520 580 650 725 754 1040 1160 1300 1450 1508 1885 2320 2600 2900 3016 3770 5200 5800 6032 7540 9425 11600 15080 18850 30160 37700 75400 150800 139404589 278809178 557618356 697022945 1115236712 1394045890 1812259657 2230473424 2788091780 3485114725 3624519314 4042733081 5576183560 6970229450 7249038628 8085466162 9061298285 11152367120 13940458900 14498077256 16170932324 18122596570 20213665405 27880917800 28996154512 32341864648 36245193140 40427330810 45306491425 52555530053 55761835600 64683729296 72490386280 80854661620 90612982850 101068327025 105111060106 144980772560 161709323240 181225965700 202136654050 210222120212 262777650265 323418646480 362451931400 404273308100 420444240424 525555300530 724903862800 808546616200 840888480848 1051110601060 1313888251325 1617093232400 2102221202120 2627776502650 4204442404240 5255553005300 10511106010600 21022212021200