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112200211021110 = 23541731737223033
BaseRepresentation
bin11001100000101110100101…
…101110001011110100110110
3112201021020100121202022010020
4121200232211232023310312
5104201242013010133420
61034344022041510010
732430124552600542
oct3140564556136466
9481236317668106
10112200211021110
113282892a082493
121070119b7a2306
134a7b58579a554
141d9c73a922a22
15ce88b9449340
hex660ba5b8bd36

112200211021110 has 128 divisors (see below), whose sum is σ = 281243448210816. Its totient is φ = 28624009052160.

The previous prime is 112200211021079. The next prime is 112200211021141. The reversal of 112200211021110 is 11120112002211.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (112200211021079) and next prime (112200211021141).

It is a super-2 number, since 2×1122002110211102 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112200211021110.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11922154 + ... + 19145186.

It is an arithmetic number, because the mean of its divisors is an integer number (2197214439147).

Almost surely, 2112200211021110 is an apocalyptic number.

112200211021110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112200211021110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140621724105408).

112200211021110 is an abundant number, since it is smaller than the sum of its proper divisors (169043237189706).

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

112200211021110 is a wasteful number, since it uses less digits than its factorization.

112200211021110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7223330.

The product of its (nonzero) digits is 16, while the sum is 15.

Adding to 112200211021110 its reverse (11120112002211), we get a palindrome (123320323023321).

The spelling of 112200211021110 in words is "one hundred twelve trillion, two hundred billion, two hundred eleven million, twenty-one thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 15 30 41 73 82 123 146 173 205 219 246 346 365 410 438 519 615 730 865 1038 1095 1230 1730 2190 2595 2993 5190 5986 7093 8979 12629 14186 14965 17958 21279 25258 29930 35465 37887 42558 44895 63145 70930 75774 89790 106395 126290 189435 212790 378870 517789 1035578 1553367 2588945 3106734 5177890 7223033 7766835 14446066 15533670 21669099 36115165 43338198 72230330 108345495 216690990 296144353 527281409 592288706 888433059 1054562818 1249584709 1480721765 1581844227 1776866118 2499169418 2636407045 2961443530 3163688454 3748754127 4442165295 5272814090 6247923545 7497508254 7909221135 8884330590 12495847090 15818442270 18743770635 21618537769 37487541270 43237075538 51232973069 64855613307 91219683757 102465946138 108092688845 129711226614 153698919207 182439367514 216185377690 256164865345 273659051271 307397838414 324278066535 456098418785 512329730690 547318102542 648556133070 768494596035 912196837570 1368295256355 1536989192070 2736590512710 3740007034037 7480014068074 11220021102111 18700035170185 22440042204222 37400070340370 56100105510555 112200211021110