Search a number
-
+
211212200221000 = 23531189215742799
BaseRepresentation
bin110000000001100010101100…
…001010101001100101001000
31000200211200121101102212022021
4300001202230022221211020
5210141000041224033000
62025113313440134224
762326402134566446
oct6001425412514510
91020750541385267
10211212200221000
1161331655809030
121b83240a607374
1390b12c049a684
143a22a216d7b96
1519641a9cdd11a
hexc018ac2a9948

211212200221000 has 128 divisors (see below), whose sum is σ = 545225204160000. Its totient is φ = 75941464896000.

The previous prime is 211212200220997. The next prime is 211212200221003. The reversal of 211212200221000 is 122002212112.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (211212200220997) and next prime (211212200221003).

It is a super-2 number, since 2×2112122002210002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211212200221003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 106892400 + ... + 108850399.

It is an arithmetic number, because the mean of its divisors is an integer number (4259571907500).

Almost surely, 2211212200221000 is an apocalyptic number.

211212200221000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211212200221000 is an abundant number, since it is smaller than the sum of its proper divisors (334013003939000).

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

211212200221000 is a wasteful number, since it uses less digits than its factorization.

211212200221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215742920 (or 215742906 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 211212200221000 its reverse (122002212112), we get a palindrome (211334202433112).

The spelling of 211212200221000 in words is "two hundred eleven trillion, two hundred twelve billion, two hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 89 100 110 125 178 200 220 250 275 356 440 445 500 550 712 890 979 1000 1100 1375 1780 1958 2200 2225 2750 3560 3916 4450 4895 5500 7832 8900 9790 11000 11125 17800 19580 22250 24475 39160 44500 48950 89000 97900 122375 195800 244750 489500 979000 215742799 431485598 862971196 1078713995 1725942392 2157427990 2373170789 4314855980 4746341578 5393569975 8629711960 9492683156 10787139950 11865853945 18985366312 19201109111 21574279900 23731707890 26967849875 38402218222 43148559800 47463415780 53935699750 59329269725 76804436444 94926831560 96005545555 107871399500 118658539450 153608872888 192011091110 211212200221 215742799000 237317078900 296646348625 384022182220 422424400442 474634157800 480027727775 593292697250 768044364440 844848800884 960055455550 1056061001105 1186585394500 1689697601768 1920110911100 2112122002210 2373170789000 2400138638875 3840221822200 4224244004420 4800277277750 5280305005525 8448488008840 9600554555500 10560610011050 19201109111000 21121220022100 26401525027625 42242440044200 52803050055250 105606100110500 211212200221000