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212102012000102 = 272791453160111777
BaseRepresentation
bin110000001110011111011001…
…000101001101011101100110
31000210222202100220021200212212
4300032133121011031131212
5210300034410033000402
62031034152534443422
762450602404120200
oct6016373105153546
91023882326250785
10212102012000102
1161644a5a316754
121b95695a803572
1391471982775b3
143a53b13963770
15197c3d7b7c952
hexc0e7d914d766

212102012000102 has 96 divisors (see below), whose sum is σ = 375305186056320. Its totient is φ = 89624818483200.

The previous prime is 212102012000083. The next prime is 212102012000117. The reversal of 212102012000102 is 201000210201212.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

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, 18009844838 + ... + 18009856614.

It is an arithmetic number, because the mean of its divisors is an integer number (3909429021420).

Almost surely, 2212102012000102 is an apocalyptic number.

212102012000102 is a deficient number, since it is larger than the sum of its proper divisors (163203174056218).

212102012000102 is a wasteful number, since it uses less digits than its factorization.

212102012000102 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14926 (or 14919 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 212102012000102 its reverse (201000210201212), we get a palindrome (413102222201314).

The spelling of 212102012000102 in words is "two hundred twelve trillion, one hundred two billion, twelve million, one hundred two", and thus it is an aban number.

Divisors: 1 2 7 14 49 79 98 158 553 1106 1453 1601 2906 3202 3871 7742 10171 11207 11777 20342 22414 23554 71197 78449 82439 114787 126479 142394 156898 164878 229574 252958 577073 803509 885353 930383 1154146 1607018 1770706 1860766 2326253 4652506 5624563 6197471 6512681 11249126 12394942 13025362 16283771 17111981 18854977 32567542 34223962 37709954 45588767 91177534 113986397 119783867 131984839 183773987 227972794 239567734 263969678 367547974 838487069 923893873 1286417909 1351846499 1489543183 1676974138 1847787746 2572835818 2703692998 2979086366 9004925363 9462925493 10426802281 18009850726 18925850986 20853604562 27396281581 54792563162 66240478451 72987615967 132480956902 145975231934 191773971067 383547942134 1342417797469 2164306244899 2684835594938 4328612489798 15150143714293 30300287428586 106051006000051 212102012000102