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110202212020 = 22517432307571
BaseRepresentation
bin110011010100010010…
…0000100111010110100
3101112110011220102010011
41212220210010322310
53301143231241040
6122343131510004
710650625226605
oct1465044047264
9345404812104
10110202212020
1142811303a8a
12194365b8304
13a513379ca4
145495dbddac
152ceec3c3ea
hex19a8904eb4

110202212020 has 144 divisors (see below), whose sum is σ = 252126883008. Its totient is φ = 40320322560.

The previous prime is 110202212009. The next prime is 110202212023. The reversal of 110202212020 is 20212202011.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (110202212023) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 192998335 + ... + 192998905.

It is an arithmetic number, because the mean of its divisors is an integer number (1750881132).

Almost surely, 2110202212020 is an apocalyptic number.

110202212020 is a gapful number since it is divisible by the number (10) 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 110202212020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126063441504).

110202212020 is an abundant number, since it is smaller than the sum of its proper divisors (141924670988).

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

110202212020 is a wasteful number, since it uses less digits than its factorization.

110202212020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 990 (or 945 counting only the distinct ones).

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

Adding to 110202212020 its reverse (20212202011), we get a palindrome (130414414031).

The spelling of 110202212020 in words is "one hundred ten billion, two hundred two million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 17 20 34 43 68 85 86 170 172 215 307 340 430 571 614 731 860 1142 1228 1462 1535 1849 2284 2855 2924 3070 3655 3698 5219 5710 6140 7310 7396 9245 9707 10438 11420 13201 14620 18490 19414 20876 24553 26095 26402 31433 36980 38828 48535 49106 52190 52804 62866 66005 97070 98212 104380 122765 125732 132010 157165 175297 194140 224417 245530 264020 314330 350594 417401 448834 491060 567643 628660 701188 834802 876485 897668 1055779 1122085 1135286 1669604 1752970 2087005 2111558 2244170 2270572 2838215 2980049 3505940 4174010 4223116 4488340 5278895 5676430 5960098 7537771 8348020 9649931 10557790 11352860 11920196 14900245 15075542 17948243 19299862 21115580 29800490 30151084 35896486 37688855 38599724 48249655 59600980 71792972 75377710 89741215 96499310 128142107 150755420 179482430 192998620 256284214 324124153 358964860 512568428 640710535 648248306 1281421070 1296496612 1620620765 2562842140 3241241530 5510110601 6482483060 11020221202 22040442404 27550553005 55101106010 110202212020