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22001111211000 = 2335314295132053
BaseRepresentation
bin1010000000010100010000…
…11010110001101111111000
32212220021201021020201112210
411000022020122301233320
510340431233432223000
6114443100532135120
74430346021455115
oct500121032615770
985807637221483
1022001111211000
117012689790119
122573b677674a0
13c37907b228bc
14560c0652790c
152824756b1350
hex1402886b1bf8

22001111211000 has 128 divisors (see below), whose sum is σ = 68691516379200. Its totient is φ = 5862856204800.

The previous prime is 22001111210983. The next prime is 22001111211007. The reversal of 22001111211000 is 11211110022.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001111211007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1720974 + ... + 6853026.

Almost surely, 222001111211000 is an apocalyptic number.

22001111211000 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 22001111211000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34345758189600).

22001111211000 is an abundant number, since it is smaller than the sum of its proper divisors (46690405168200).

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

22001111211000 is a wasteful number, since it uses less digits than its factorization.

22001111211000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5133506 (or 5133492 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 22001111211000 its reverse (11211110022), we get a palindrome (22012322321022).

The spelling of 22001111211000 in words is "twenty-two trillion, one billion, one hundred eleven million, two hundred eleven thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1429 1500 2858 3000 4287 5716 7145 8574 11432 14290 17148 21435 28580 34296 35725 42870 57160 71450 85740 107175 142900 171480 178625 214350 285800 357250 428700 535875 714500 857400 1071750 1429000 2143500 4287000 5132053 10264106 15396159 20528212 25660265 30792318 41056424 51320530 61584636 76980795 102641060 123169272 128301325 153961590 205282120 256602650 307923180 384903975 513205300 615846360 641506625 769807950 1026410600 1283013250 1539615900 1924519875 2566026500 3079231800 3849039750 5132053000 7333703737 7698079500 14667407474 15396159000 22001111211 29334814948 36668518685 44002222422 58669629896 73337037370 88004444844 110005556055 146674074740 176008889688 183342593425 220011112110 293348149480 366685186850 440022224220 550027780275 733370373700 880044448440 916712967125 1100055560550 1466740747400 1833425934250 2200111121100 2750138901375 3666851868500 4400222242200 5500277802750 7333703737000 11000555605500 22001111211000