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11100212212112 = 2417677116352631
BaseRepresentation
bin1010000110000111100000…
…1101001011000110010000
31110022011120212121111211222
42201201320031023012100
52423331213311241422
635335211143024212
72223651415011122
oct241417015130620
943264525544758
1011100212212112
11359a634459121
1212b336673b068
1362698cba549a
142a5378877212
15143b1e361842
hexa187834b190

11100212212112 has 160 divisors (see below), whose sum is σ = 23581386123264. Its totient is φ = 5041970841600.

The previous prime is 11100212212091. The next prime is 11100212212189. The reversal of 11100212212112 is 21121221200111.

It is a super-2 number, since 2×111002122121122 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 210880037 + ... + 210932667.

Almost surely, 211100212212112 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 11100212212112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11790693061632).

11100212212112 is an abundant number, since it is smaller than the sum of its proper divisors (12481173911152).

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

11100212212112 is a wasteful number, since it uses less digits than its factorization.

11100212212112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52957 (or 52951 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 17.

Adding to 11100212212112 its reverse (21121221200111), we get a palindrome (32221433412223).

The spelling of 11100212212112 in words is "eleven trillion, one hundred billion, two hundred twelve million, two hundred twelve thousand, one hundred twelve".

Divisors: 1 2 4 8 16 17 34 67 68 71 134 136 142 163 268 272 284 326 536 568 652 1072 1136 1139 1207 1304 2278 2414 2608 2771 4556 4757 4828 5542 9112 9514 9656 10921 11084 11573 18224 19028 19312 21842 22168 23146 38056 43684 44336 46292 52631 76112 80869 87368 92584 105262 161738 174736 185168 185657 196741 210524 323476 371314 393482 421048 646952 742628 775391 786964 842096 894727 1293904 1485256 1550782 1573928 1789454 2970512 3101564 3147856 3526277 3578908 3736801 6203128 7052554 7157816 7473602 8578853 12406256 13181647 14105108 14315632 14947204 17157706 26363294 28210216 29894408 34315412 52726588 56420432 59788816 59946709 63525617 68630824 105453176 119893418 127051234 137261648 145840501 210906352 239786836 250365667 254102468 291681002 479573672 500731334 508204936 574783151 583362004 609098563 959147344 1001462668 1016409872 1149566302 1166724008 1218197126 2002925336 2299132604 2333448016 2436394252 4005850672 4256216339 4598265208 4872788504 8512432678 9196530416 9745577008 9771313567 10354675571 17024865356 19542627134 20709351142 34049730712 39085254268 40809603721 41418702284 68099461424 78170508536 81619207442 82837404568 156341017072 163238414884 165674809136 326476829768 652953659536 693763263257 1387526526514 2775053053028 5550106106056 11100212212112