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211222110102012 = 2232791012632795971
BaseRepresentation
bin110000000001101011111010…
…110101110110000111111100
31000200212122012000121222102100
4300001223322311312013330
5210141130340141231022
62025122033043225100
762330202536312022
oct6001537265660774
91020778160558370
10211222110102012
1161335880670339
121b834315378190
1390b220c5c39a9
143a232c18bc712
151964589ce91ac
hexc01afad761fc

211222110102012 has 144 divisors (see below), whose sum is σ = 548110719636480. Its totient is φ = 68566131504000.

The previous prime is 211222110102007. The next prime is 211222110102023. The reversal of 211222110102012 is 210201011222112.

It is a super-2 number, since 2×2112221101020122 (a number of 29 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 74147187 + ... + 76943157.

It is an arithmetic number, because the mean of its divisors is an integer number (3806324441920).

Almost surely, 2211222110102012 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 211222110102012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274055359818240).

211222110102012 is an abundant number, since it is smaller than the sum of its proper divisors (336888609534468).

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

211222110102012 is a wasteful number, since it uses less digits than its factorization.

211222110102012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796424 (or 2796419 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 18.

Adding to 211222110102012 its reverse (210201011222112), we get a palindrome (421423121324124).

The spelling of 211222110102012 in words is "two hundred eleven trillion, two hundred twenty-two billion, one hundred ten million, one hundred two thousand, twelve".

Divisors: 1 2 3 4 6 9 12 18 36 79 101 158 202 237 263 303 316 404 474 526 606 711 789 909 948 1052 1212 1422 1578 1818 2367 2844 3156 3636 4734 7979 9468 15958 20777 23937 26563 31916 41554 47874 53126 62331 71811 79689 83108 95748 106252 124662 143622 159378 186993 239067 249324 287244 318756 373986 478134 747972 956268 2098477 2795971 4196954 5591942 6295431 8387913 8393908 11183884 12590862 16775826 18886293 25163739 25181724 33551652 37772586 50327478 75545172 100654956 220881709 282393071 441763418 564786142 662645127 735340373 847179213 883526836 1129572284 1325290254 1470680746 1694358426 1987935381 2206021119 2541537639 2650580508 2941361492 3388716852 3975870762 4412042238 5083075278 6618063357 7951741524 8824084476 10166150556 13236126714 22309052609 26472253428 44618105218 58091889467 66927157827 74269377673 89236210436 116183778934 133854315654 148538755346 174275668401 200781473481 222808133019 232367557868 267708631308 297077510692 348551336802 401562946962 445616266038 522827005203 668424399057 697102673604 803125893924 891232532076 1045654010406 1336848798114 2091308020812 2673697596228 5867280836167 11734561672334 17601842508501 23469123344668 35203685017002 52805527525503 70407370034004 105611055051006 211222110102012