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211020211211000 = 23531733493495043
BaseRepresentation
bin101111111110101111111000…
…101110101100101011111000
31000200011100001100020122011012
4233332233320232230223320
5210124323343032223000
62024445202521253052
762306464360124432
oct5776577056545370
91020140040218135
10211020211211000
1161268194a41224
121b801169934188
139099174a6b989
143a1760b541652
15195e1becd5735
hexbfebf8bacaf8

211020211211000 has 128 divisors (see below), whose sum is σ = 498064740264000. Its totient is φ = 83679693580800.

The previous prime is 211020211210997. The next prime is 211020211211011. The reversal of 211020211211000 is 112112020112.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58629479 + ... + 62124521.

Almost surely, 2211020211211000 is an apocalyptic number.

211020211211000 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 211020211211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249032370132000).

211020211211000 is an abundant number, since it is smaller than the sum of its proper divisors (287044529053000).

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

211020211211000 is a wasteful number, since it uses less digits than its factorization.

211020211211000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3495586 (or 3495572 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 211020211211000 its reverse (112112020112), we get a palindrome (211132323231112).

The spelling of 211020211211000 in words is "two hundred eleven trillion, twenty billion, two hundred eleven million, two hundred eleven thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 173 200 250 346 349 500 692 698 865 1000 1384 1396 1730 1745 2792 3460 3490 4325 6920 6980 8650 8725 13960 17300 17450 21625 34600 34900 43250 43625 60377 69800 86500 87250 120754 173000 174500 241508 301885 349000 483016 603770 1207540 1509425 2415080 3018850 3495043 6037700 6990086 7547125 12075400 13980172 15094250 17475215 27960344 30188500 34950430 60377000 69900860 87376075 139801720 174752150 349504300 436880375 604642439 699008600 873760750 1209284878 1219770007 1747521500 2418569756 2439540014 3023212195 3495043000 4837139512 4879080028 6046424390 6098850035 9758160056 12092848780 12197700070 15116060975 24185697560 24395400140 30232121950 30494250175 48790800280 60464243900 60988500350 75580304875 120928487800 121977000700 151160609750 152471250875 211020211211 243954001400 302321219500 304942501750 422040422422 604642439000 609885003500 844080844844 1055101056055 1219770007000 1688161689688 2110202112110 4220404224220 5275505280275 8440808448440 10551010560550 21102021121100 26377526401375 42204042242200 52755052802750 105510105605500 211020211211000