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212012112102 = 23731994871063
BaseRepresentation
bin1100010101110011101…
…0000001100011100110
3202021020111012012112020
43011130322001203212
511433200100041402
6241221431204010
721213600135000
oct3053472014346
9667214165466
10212012112102
1181a0634587a
123510a516606
1316cb9b34a0b
14a393573370
1557accd88bc
hex315ce818e6

212012112102 has 128 divisors (see below), whose sum is σ = 498462720000. Its totient is φ = 60090151968.

The previous prime is 212012112089. The next prime is 212012112127. The reversal of 212012112102 is 201211210212.

212012112102 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 199446423 + ... + 199447485.

It is an arithmetic number, because the mean of its divisors is an integer number (3894240000).

Almost surely, 2212012112102 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212012112102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249231360000).

212012112102 is an abundant number, since it is smaller than the sum of its proper divisors (286450607898).

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

212012112102 is a wasteful number, since it uses less digits than its factorization.

212012112102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1775 (or 1761 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 212012112102 its reverse (201211210212), we get a palindrome (413223322314).

The spelling of 212012112102 in words is "two hundred twelve billion, twelve million, one hundred twelve thousand, one hundred two".

Divisors: 1 2 3 6 7 14 21 42 49 98 147 199 294 343 398 487 597 686 974 1029 1063 1194 1393 1461 2058 2126 2786 2922 3189 3409 4179 6378 6818 7441 8358 9751 10227 14882 19502 20454 22323 23863 29253 44646 47726 52087 58506 68257 71589 96913 104174 136514 143178 156261 167041 193826 204771 211537 290739 312522 334082 364609 409542 423074 501123 517681 581478 634611 678391 729218 1002246 1035362 1093827 1269222 1356782 1480759 1553043 2035173 2187654 2961518 3106086 3623767 4070346 4442277 4748737 7247534 8884554 9497474 10365313 10871301 14246211 20730626 21742602 25366369 28492422 31095939 33241159 50732738 62191878 66482318 72557191 76099107 99723477 103018519 145114382 152198214 177564583 199446954 206037038 217671573 309055557 355129166 435343146 532693749 618111114 721129633 1065387498 1442259266 2163388899 4326777798 5047907431 10095814862 15143722293 30287444586 35335352017 70670704034 106006056051 212012112102