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22000210001200 = 245289699188397
BaseRepresentation
bin1010000000010010100101…
…01100111011110100110000
32212220012101110110112010001
411000021102230323310300
510340422412230014300
6114442431300115344
74430314466350234
oct500112254736460
985805343415101
1022000210001200
117012267001932
122573955995b54
13c377c31c4672
14560b5c9745c4
152824214e616a
hex140252b3bd30

22000210001200 has 120 divisors (see below), whose sum is σ = 53457636795840. Its totient is φ = 8699863603200.

The previous prime is 22000210001131. The next prime is 22000210001201. The reversal of 22000210001200 is 210001200022.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (22000210001201) 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 23 ways as a sum of consecutive naturals, for example, 248835402 + ... + 248923798.

It is an arithmetic number, because the mean of its divisors is an integer number (445480306632).

Almost surely, 222000210001200 is an apocalyptic number.

22000210001200 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 22000210001200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26728818397920).

22000210001200 is an abundant number, since it is smaller than the sum of its proper divisors (31457426794640).

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

22000210001200 is a wasteful number, since it uses less digits than its factorization.

22000210001200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95495 (or 95484 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 22000210001200 its reverse (210001200022), we get a palindrome (22210211201222).

The spelling of 22000210001200 in words is "twenty-two trillion, two hundred ten million, one thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 89 100 178 200 356 400 445 712 890 1424 1780 2225 3560 4450 6991 7120 8900 13982 17800 27964 34955 35600 55928 69910 88397 111856 139820 174775 176794 279640 349550 353588 441985 559280 622199 699100 707176 883970 1244398 1398200 1414352 1767940 2209925 2488796 2796400 3110995 3535880 4419850 4977592 6221990 7071760 7867333 8839700 9955184 12443980 15554975 15734666 17679400 24887960 31109950 31469332 35358800 39336665 49775920 62219900 62938664 78673330 124439800 125877328 157346660 196683325 248879600 314693320 393366650 617983427 629386640 786733300 1235966854 1573466600 2471933708 3089917135 3146933200 4943867416 6179834270 9887734832 12359668540 15449585675 24719337080 30899171350 49438674160 55000525003 61798342700 110001050006 123596685400 220002100012 247193370800 275002625015 440004200024 550005250030 880008400048 1100010500060 1375013125075 2200021000120 2750026250150 4400042000240 5500052500300 11000105000600 22000210001200