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112203213321132 = 223279245916044167
BaseRepresentation
bin11001100000110001011000…
…101011000011001110101100
3112201021112002212002221111100
4121200301120223003032230
5104201314140102234012
61034345240011323100
732430262136663043
oct3140613053031654
9481245085087440
10112203213321132
113282a12a87397a
1210701899150490
134a7b9437a893b
141d9c94356755a
15ce89e2ce48dc
hex660c58ac33ac

112203213321132 has 72 divisors (see below), whose sum is σ = 287331795878400. Its totient is φ = 36912620186208.

The previous prime is 112203213321109. The next prime is 112203213321139. The reversal of 112203213321132 is 231123312302211.

112203213321132 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 0 + 321 + 3 + 321 + 13 + 2 = 666.

It is a super-2 number, since 2×1122032133211322 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112203213321096 and 112203213321105.

It is not an unprimeable number, because it can be changed into a prime (112203213321139) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1028688 + ... + 15015479.

It is an arithmetic number, because the mean of its divisors is an integer number (3990719387200).

Almost surely, 2112203213321132 is an apocalyptic number.

112203213321132 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 112203213321132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143665897939200).

112203213321132 is an abundant number, since it is smaller than the sum of its proper divisors (175128582557268).

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

112203213321132 is a wasteful number, since it uses less digits than its factorization.

112203213321132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16046715 (or 16046710 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 112203213321132 its reverse (231123312302211), we get a palindrome (343326525623343).

The spelling of 112203213321132 in words is "one hundred twelve trillion, two hundred three billion, two hundred thirteen million, three hundred twenty-one thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 79 158 237 316 474 711 948 1422 2459 2844 4918 7377 9836 14754 22131 29508 44262 88524 194261 388522 582783 777044 1165566 1748349 2331132 3496698 6993396 16044167 32088334 48132501 64176668 96265002 144397503 192530004 288795006 577590012 1267489193 2534978386 3802467579 5069956772 7604935158 11407402737 15209870316 22814805474 39452606653 45629610948 78905213306 118357819959 157810426612 236715639918 355073459877 473431279836 710146919754 1420293839508 3116755925587 6233511851174 9350267776761 12467023702348 18700535553522 28050803330283 37401071107044 56101606660566 112203213321132