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211210122020000 = 255412149869249
BaseRepresentation
bin110000000001100000110000…
…010010111100010010100000
31000200211111020112221022110212
4300001200300102330102200
5210140431312214120000
62025112331321113252
762326266501303425
oct6001406022742240
91020744215838425
10211210122020000
1161330789709944
121b831b2a628828
1390b104ba72a3c
143a228a56c3d4c
1519640d762ec35
hexc018304bc4a0

211210122020000 has 120 divisors (see below), whose sum is σ = 519651949162500. Its totient is φ = 84476997632000.

The previous prime is 211210122019999. The next prime is 211210122020081. The reversal of 211210122020000 is 20221012112.

It can be written as a sum of positive squares in 10 ways, for example, as 33750104346256 + 177460017673744 = 5809484^2 + 13321412^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 242545376 + ... + 243414624.

Almost surely, 2211210122020000 is an apocalyptic number.

211210122020000 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 211210122020000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259825974581250).

211210122020000 is an abundant number, since it is smaller than the sum of its proper divisors (308441827142500).

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

211210122020000 is an equidigital number, since it uses as much as digits as its factorization.

211210122020000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 881428 (or 881405 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211210122020000 its reverse (20221012112), we get a palindrome (211230343032112).

The spelling of 211210122020000 in words is "two hundred eleven trillion, two hundred ten billion, one hundred twenty-two million, twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 250 400 500 625 800 1000 1250 2000 2500 4000 5000 10000 12149 20000 24298 48596 60745 97192 121490 194384 242980 303725 388768 485960 607450 869249 971920 1214900 1518625 1738498 1943840 2429800 3037250 3476996 4346245 4859600 6074500 6953992 7593125 8692490 9719200 12149000 13907984 15186250 17384980 21731225 24298000 27815968 30372500 34769960 43462450 48596000 60745000 69539920 86924900 108656125 121490000 139079840 173849800 217312250 242980000 347699600 434624500 543280625 695399200 869249000 1086561250 1738498000 2173122500 3476996000 4346245000 8692490000 10560506101 17384980000 21121012202 42242024404 52802530505 84484048808 105605061010 168968097616 211210122020 264012652525 337936195232 422420244040 528025305050 844840488080 1056050610100 1320063262625 1689680976160 2112101220200 2640126525250 4224202440400 5280253050500 6600316313125 8448404880800 10560506101000 13200632626250 21121012202000 26401265252500 42242024404000 52802530505000 105605061010000 211210122020000