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111011010000012 = 223279947230917851
BaseRepresentation
bin11001001111011011000011…
…110100010011010010001100
3112120001112211011020011021100
4121033123003310103102030
5104022301022030000022
61032033430504503100
732245165212651153
oct3117330364232214
9476045734204240
10111011010000012
113240a561104051
121054a81677aa90
1349c33a75861b5
141d5ad666dc59a
15cc79b78411ac
hex64f6c3d1348c

111011010000012 has 144 divisors (see below), whose sum is σ = 284602410892800. Its totient is φ = 36478839196800.

The previous prime is 111011009999987. The next prime is 111011010000031. The reversal of 111011010000012 is 210000010110111.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 111011009999949 and 111011010000003.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6218746887 + ... + 6218764737.

It is an arithmetic number, because the mean of its divisors is an integer number (1976405631200).

Almost surely, 2111011010000012 is an apocalyptic number.

111011010000012 is a gapful number since it is divisible by the number (12) 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 111011010000012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142301205446400).

111011010000012 is an abundant number, since it is smaller than the sum of its proper divisors (173591400892788).

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

111011010000012 is a wasteful number, since it uses less digits than its factorization.

111011010000012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21196 (or 21191 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 111011010000012 its reverse (210000010110111), we get a palindrome (321011020110123).

The spelling of 111011010000012 in words is "one hundred eleven trillion, eleven billion, ten million, twelve", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 947 948 1422 1894 2309 2841 2844 3788 4618 5682 6927 8523 9236 11364 13854 17046 17851 20781 27708 34092 35702 41562 53553 71404 74813 83124 107106 149626 160659 182411 214212 224439 299252 321318 364822 448878 547233 642636 673317 729644 897756 1094466 1346634 1410229 1641699 2186623 2188932 2693268 2820458 3283398 4230687 4373246 5640916 6559869 6566796 8461374 8746492 12692061 13119738 16904897 16922748 19679607 25384122 26239476 33809794 39359214 41217959 50714691 50768244 67619588 78718428 82435918 101429382 123653877 152144073 164871836 172743217 202858764 247307754 304288146 345486434 370961631 494615508 518229651 608576292 690972868 741923262 1036459302 1335486863 1483846524 1554688953 2072918604 2670973726 3109377906 3256218761 4006460589 5341947452 6218755812 6512437522 8012921178 9768656283 12019381767 13024875044 16025842356 19537312566 24038763534 29305968849 39033407173 39074625132 48077527068 58611937698 78066814346 117100221519 117223875396 156133628692 234200443038 351300664557 468400886076 702601329114 1405202658228 3083639166667 6167278333334 9250917500001 12334556666668 18501835000002 27752752500003 37003670000004 55505505000006 111011010000012