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21022120111000 = 2353211340729243
BaseRepresentation
bin1001100011110100110000…
…00000000110101110011000
32202102200202200202222221011
410301322120000012232120
510223411300222023000
6112413232331223304
74266540506432311
oct461723000065630
982380680688834
1021022120111000
1167754818367a8
1224362895a7b34
13b964ba266b48
1452969438d608
15266c785542ba
hex131e98006b98

21022120111000 has 128 divisors (see below), whose sum is σ = 49441094876160. Its totient is φ = 8366253168000.

The previous prime is 21022120110923. The next prime is 21022120111009. The reversal of 21022120111000 is 11102122012.

It is a super-2 number, since 2×210221201110002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21022120111009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 718862379 + ... + 718891621.

It is an arithmetic number, because the mean of its divisors is an integer number (386258553720).

Almost surely, 221022120111000 is an apocalyptic number.

21022120111000 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 21022120111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24720547438080).

21022120111000 is an abundant number, since it is smaller than the sum of its proper divisors (28418974765160).

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

21022120111000 is a wasteful number, since it uses less digits than its factorization.

21022120111000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32882 (or 32868 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 21022120111000 its reverse (11102122012), we get a palindrome (21033222233012).

The spelling of 21022120111000 in words is "twenty-one trillion, twenty-two billion, one hundred twenty million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 211 250 422 500 844 1000 1055 1688 2110 3407 4220 5275 6814 8440 10550 13628 17035 21100 26375 27256 29243 34070 42200 52750 58486 68140 85175 105500 116972 136280 146215 170350 211000 233944 292430 340700 425875 584860 681400 718877 731075 851750 1169720 1437754 1462150 1703500 2875508 2924300 3407000 3594385 3655375 5751016 5848600 6170273 7188770 7310750 12340546 14377540 14621500 17971925 24681092 28755080 29243000 30851365 35943850 49362184 61702730 71887700 89859625 99630901 123405460 143775400 154256825 179719250 199261802 246810920 308513650 359438500 398523604 498154505 617027300 718877000 771284125 797047208 996309010 1234054600 1542568250 1992618020 2490772525 3085136500 3985236040 4981545050 6170273000 9963090100 12453862625 19926180200 21022120111 24907725250 42044240222 49815450500 84088480444 99630901000 105110600555 168176960888 210221201110 420442402220 525553002775 840884804440 1051106005550 2102212011100 2627765013875 4204424022200 5255530027750 10511060055500 21022120111000