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211201022001000 = 23353591193226113
BaseRepresentation
bin110000000001011000010001…
…111001000111111101101000
31000200210121202100122110012010
4300001120101321013331220
5210140304143113013000
62025104224324115520
762325525132360663
oct6001302171077550
91020717670573163
10211201022001000
1161327939a13989
121b83020ab35ba0
1390b022b673405
143a22280cb46da
151963c53797d50
hexc01611e47f68

211201022001000 has 128 divisors (see below), whose sum is σ = 670115785622400. Its totient is φ = 55365691596800.

The previous prime is 211201022000981. The next prime is 211201022001031. The reversal of 211201022001000 is 100220102112.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 596436057 + ... + 596790056.

It is an arithmetic number, because the mean of its divisors is an integer number (5235279575175).

Almost surely, 2211201022001000 is an apocalyptic number.

211201022001000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211201022001000 is an abundant number, since it is smaller than the sum of its proper divisors (458914763621400).

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

211201022001000 is a wasteful number, since it uses less digits than its factorization.

211201022001000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193226196 (or 1193226182 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 211201022001000 its reverse (100220102112), we get a palindrome (211301242103112).

The spelling of 211201022001000 in words is "two hundred eleven trillion, two hundred one billion, twenty-two million, one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 59 60 75 100 118 120 125 150 177 200 236 250 295 300 354 375 472 500 590 600 708 750 885 1000 1180 1416 1475 1500 1770 2360 2950 3000 3540 4425 5900 7080 7375 8850 11800 14750 17700 22125 29500 35400 44250 59000 88500 177000 1193226113 2386452226 3579678339 4772904452 5966130565 7159356678 9545808904 11932261130 14318713356 17898391695 23864522260 28637426712 29830652825 35796783390 47729044520 59661305650 70400340667 71593566780 89491958475 119322611300 140800681334 143187133560 149153264125 178983916950 211201022001 238645222600 281601362668 298306528250 352001703335 357967833900 422402044002 447459792375 563202725336 596613056500 704003406670 715935667800 844804088004 894919584750 1056005110005 1193226113000 1408006813340 1689608176008 1760008516675 1789839169500 2112010220010 2816013626680 3520017033350 3579678339000 4224020440020 5280025550025 7040034066700 8448040880040 8800042583375 10560051100050 14080068133400 17600085166750 21120102200100 26400127750125 35200170333500 42240204400200 52800255500250 70400340667000 105600511000500 211201022001000