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2212000000100 = 225211101179111229
BaseRepresentation
bin100000001100000101011…
…110010110100001100100
321211110120002020200221122
4200030011132112201210
5242220134000000400
64412102340433112
7315545264526062
oct40140536264144
97743502220848
102212000000100
11783116373740
122b884a3a8798
1313078aa18107
14790c058d032
153c814bc2685
hex20305796864

2212000000100 has 144 divisors (see below), whose sum is σ = 5317844011200. Its totient is φ = 791943360000.

The previous prime is 2212000000097. The next prime is 2212000000123. The reversal of 2212000000100 is 10000002122.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19831286 + ... + 19942514.

It is an arithmetic number, because the mean of its divisors is an integer number (36929472300).

Almost surely, 22212000000100 is an apocalyptic number.

2212000000100 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 2212000000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2658922005600).

2212000000100 is an abundant number, since it is smaller than the sum of its proper divisors (3105844011100).

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

2212000000100 is a wasteful number, since it uses less digits than its factorization.

2212000000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111534 (or 111527 counting only the distinct ones).

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

Adding to 2212000000100 its reverse (10000002122), we get a palindrome (2222000002222).

The spelling of 2212000000100 in words is "two trillion, two hundred twelve billion, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 101 110 179 202 220 275 358 404 505 550 716 895 1010 1100 1111 1790 1969 2020 2222 2525 3580 3938 4444 4475 5050 5555 7876 8950 9845 10100 11110 17900 18079 19690 22220 27775 36158 39380 49225 55550 72316 90395 98450 111100 111229 180790 196900 198869 222458 361580 397738 444916 451975 556145 795476 903950 994345 1112290 1223519 1807900 1988690 2224580 2447038 2780725 3977380 4894076 4971725 5561450 6117595 9943450 11122900 11234129 12235190 19886900 19909991 22468258 24470380 30587975 39819982 44936516 56170645 61175950 79639964 99549955 112341290 122351900 123575419 199099910 219009901 224682580 247150838 280853225 398199820 438019802 494301676 497749775 561706450 617877095 876039604 995499550 1095049505 1123412900 1235754190 1990999100 2010909091 2190099010 2471508380 3089385475 4021818182 4380198020 5475247525 6178770950 8043636364 10054545455 10950495050 12357541900 20109090910 21900990100 22120000001 40218181820 44240000002 50272727275 88480000004 100545454550 110600000005 201090909100 221200000010 442400000020 553000000025 1106000000050 2212000000100