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2212122001104 = 243216699204289
BaseRepresentation
bin100000001100001100101…
…111101111111011010000
321211110212120210222212100
4200030030233233323100
5242220411213013404
64412122415400400
7315551305523121
oct40141457577320
97743776728770
102212122001104
11783179221914
122b8883223100
131307aa092a62
14790d286a048
153c820770d39
hex2030cbefed0

2212122001104 has 60 divisors (see below), whose sum is σ = 6194579212900. Its totient is φ = 736932114432.

The previous prime is 2212122001049. The next prime is 2212122001121. The reversal of 2212122001104 is 4011002212122.

2212122001104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1038687105600 + 1173434895504 = 1019160^2 + 1083252^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4361809 + ... + 4842480.

Almost surely, 22212122001104 is an apocalyptic number.

2212122001104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2212122001104 is an abundant number, since it is smaller than the sum of its proper divisors (3982457211796).

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

2212122001104 is a wasteful number, since it uses less digits than its factorization.

2212122001104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9205972 (or 9205963 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2212122001104 its reverse (4011002212122), we get a palindrome (6223124213226).

The spelling of 2212122001104 in words is "two trillion, two hundred twelve billion, one hundred twenty-two million, one thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 1669 3338 5007 6676 10014 13352 15021 20028 26704 30042 40056 60084 80112 120168 240336 9204289 18408578 27612867 36817156 55225734 73634312 82838601 110451468 147268624 165677202 220902936 331354404 441805872 662708808 1325417616 15361958341 30723916682 46085875023 61447833364 92171750046 122895666728 138257625069 184343500092 245791333456 276515250138 368687000184 553030500276 737374000368 1106061000552 2212122001104