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212011021112 = 231117227624311
BaseRepresentation
bin1100010101110011010…
…1110111001100111000
3202021020102010202222012
43011130311313030320
511433144310133422
6241221351545052
721213554642162
oct3053465671470
9667212122865
10212011021112
1181a05770130
123510a08b188
1316cb9842267
14a39336b932
1557acb704e2
hex315cd77338

212011021112 has 64 divisors (see below), whose sum is σ = 461191760640. Its totient is φ = 90300198400.

The previous prime is 212011021097. The next prime is 212011021127. The reversal of 212011021112 is 211120110212.

It is an interprime number because it is at equal distance from previous prime (212011021097) and next prime (212011021127).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27437 + ... + 651747.

It is an arithmetic number, because the mean of its divisors is an integer number (7206121260).

Almost surely, 2212011021112 is an apocalyptic number.

212011021112 is a gapful number since it is divisible by the number (22) 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 212011021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230595880320).

212011021112 is an abundant number, since it is smaller than the sum of its proper divisors (249180739528).

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

212011021112 is a wasteful number, since it uses less digits than its factorization.

212011021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 624572 (or 624568 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 212011021112 its reverse (211120110212), we get a palindrome (423131131324).

The spelling of 212011021112 in words is "two hundred twelve billion, eleven million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 136 187 227 374 454 748 908 1496 1816 2497 3859 4994 7718 9988 15436 19976 30872 42449 84898 169796 339592 624311 1248622 2497244 4994488 6867421 10613287 13734842 21226574 27469684 42453148 54939368 84906296 116746157 141718597 233492314 283437194 466984628 566874388 933969256 1133748776 1558904567 2409216149 3117809134 4818432298 6235618268 9636864596 12471236536 19273729192 26501377639 53002755278 106005510556 212011021112