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112102020211212 = 223247591297865807
BaseRepresentation
bin11001011111010011001001…
…000101111110001000001100
3112200220211220112102100010100
4121133103021011332020030
5104143134414133224322
61034230542424011100
732420050364514003
oct3137231105761014
9480824815370110
10112102020211212
11327a0221a08719
12106a6157900a90
134a72237a47bc5
141d97aa3c8bc3a
15ce606de80dac
hex65f4c917e20c

112102020211212 has 144 divisors (see below), whose sum is σ = 294530426910720. Its totient is φ = 35924659785216.

The previous prime is 112102020211171. The next prime is 112102020211229. The reversal of 112102020211212 is 212112020201211.

112102020211212 is a `hidden beast` number, since 11 + 210 + 2 + 0 + 20 + 211 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

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, 129044013 + ... + 129909819.

It is an arithmetic number, because the mean of its divisors is an integer number (2045350186880).

Almost surely, 2112102020211212 is an apocalyptic number.

112102020211212 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 112102020211212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147265213455360).

112102020211212 is an abundant number, since it is smaller than the sum of its proper divisors (182428406699508).

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

112102020211212 is a wasteful number, since it uses less digits than its factorization.

112102020211212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 867220 (or 867215 counting only the distinct ones).

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

Adding to 112102020211212 its reverse (212112020201211), we get a palindrome (324214040412423).

The spelling of 112102020211212 in words is "one hundred twelve trillion, one hundred two billion, twenty million, two hundred eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 47 59 94 118 141 177 188 236 282 354 423 531 564 708 846 1062 1297 1692 2124 2594 2773 3891 5188 5546 7782 8319 11092 11673 15564 16638 23346 24957 33276 46692 49914 60959 76523 99828 121918 153046 182877 229569 243836 306092 365754 459138 548631 688707 731508 865807 918276 1097262 1377414 1731614 2194524 2597421 2754828 3463228 3596581 5194842 7193162 7792263 10389684 10789743 14386324 15584526 21579486 31169052 32369229 40692929 43158972 51082613 64738458 81385858 102165226 122078787 129476916 153247839 162771716 204330452 244157574 306495678 366236361 459743517 488315148 612991356 732472722 919487034 1122951679 1464945444 1838974068 2245903358 2400882811 3368855037 4491806716 4801765622 6737710074 7202648433 9603531244 10106565111 13475420148 14405296866 20213130222 21607945299 28810593732 40426260444 43215890598 52778728913 66254149061 86431781196 105557457826 132508298122 158336186739 198762447183 211114915652 265016596244 316672373478 397524894366 475008560217 596287341549 633344746956 795049788732 950017120434 1192574683098 1900034240868 2385149366196 3113945005867 6227890011734 9341835017601 12455780023468 18683670035202 28025505052803 37367340070404 56051010105606 112102020211212