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211222021000 = 23531976591627
BaseRepresentation
bin1100010010110111010…
…0000100001110001000
3202012012102111102021211
43010231310010032020
511430040314133000
6241011204542504
721155164361254
oct3045564041610
9665172442254
10211222021000
1181640362721
1234b299b1a34
1316bc22410a3
14a31a667264
15576376c7ba
hex312dd04388

211222021000 has 128 divisors (see below), whose sum is σ = 497828073600. Its totient is φ = 83880787200.

The previous prime is 211222020979. The next prime is 211222021001. The reversal of 211222021000 is 120222112.

It is a happy number.

It is a super-2 number, since 2×2112220210002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211222021001) 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, 129822187 + ... + 129823813.

It is an arithmetic number, because the mean of its divisors is an integer number (3889281825).

Almost surely, 2211222021000 is an apocalyptic number.

211222021000 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 211222021000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248914036800).

211222021000 is an abundant number, since it is smaller than the sum of its proper divisors (286606052600).

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

211222021000 is a wasteful number, since it uses less digits than its factorization.

211222021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2504 (or 2490 counting only the distinct ones).

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

Adding to 211222021000 its reverse (120222112), we get a palindrome (211342243112).

The spelling of 211222021000 in words is "two hundred eleven billion, two hundred twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 197 200 250 394 500 659 788 985 1000 1318 1576 1627 1970 2636 3254 3295 3940 4925 5272 6508 6590 7880 8135 9850 13016 13180 16270 16475 19700 24625 26360 32540 32950 39400 40675 49250 65080 65900 81350 82375 98500 129823 131800 162700 164750 197000 203375 259646 320519 325400 329500 406750 519292 641038 649115 659000 813500 1038584 1072193 1282076 1298230 1602595 1627000 2144386 2564152 2596460 3205190 3245575 4288772 5192920 5360965 6410380 6491150 8012975 8577544 10721930 12820760 12982300 16025950 16227875 21443860 25964600 26804825 32051900 32455750 40064875 42887720 53609650 64103800 64911500 80129750 107219300 129823000 134024125 160259500 211222021 214438600 268048250 320519000 422444042 536096500 844888084 1056110105 1072193000 1689776168 2112220210 4224440420 5280550525 8448880840 10561101050 21122202100 26402752625 42244404200 52805505250 105611010500 211222021000