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112222320352044 = 223724143491070357
BaseRepresentation
bin11001100001000011001011…
…100010100101101100101100
3112201100100102110100200102220
4121201003023202211230230
5104202122303002231134
61034402120001315340
732431536500033400
oct3141031342455454
9481310373320386
10112222320352044
1132837245233011
1210705530035b50
134a8069a17c1a6
141d9d837003100
15ce9260472149
hex6610cb8a5b2c

112222320352044 has 144 divisors (see below), whose sum is σ = 312104832933600. Its totient is φ = 31274261007360.

The previous prime is 112222320351989. The next prime is 112222320352057. The reversal of 112222320352044 is 440253023222211.

It is a junction number, because it is equal to n+sod(n) for n = 112222320351996 and 112222320352014.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 104310514 + ... + 105380870.

It is an arithmetic number, because the mean of its divisors is an integer number (2167394673150).

Almost surely, 2112222320352044 is an apocalyptic number.

112222320352044 is a gapful number since it is divisible by the number (14) 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 112222320352044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156052416466800).

112222320352044 is an abundant number, since it is smaller than the sum of its proper divisors (199882512581556).

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

112222320352044 is a wasteful number, since it uses less digits than its factorization.

112222320352044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074768 (or 1074759 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 33.

Adding to 112222320352044 its reverse (440253023222211), we get a palindrome (552475343574255).

The spelling of 112222320352044 in words is "one hundred twelve trillion, two hundred twenty-two billion, three hundred twenty million, three hundred fifty-two thousand, forty-four".

Divisors: 1 2 3 4 6 7 12 14 21 28 41 42 49 82 84 98 123 147 164 196 246 287 294 492 574 588 861 1148 1722 2009 3444 4018 4349 6027 8036 8698 12054 13047 17396 24108 26094 30443 52188 60886 91329 121772 178309 182658 213101 356618 365316 426202 534927 639303 713236 852404 1069854 1070357 1248163 1278606 2139708 2140714 2496326 2557212 3211071 3744489 4281428 4992652 6422142 7488978 7492499 8737141 12844284 14977956 14984998 17474282 22477497 26211423 29969996 34948564 43884637 44954994 52422846 52447493 87769274 89909988 104845692 104894986 131653911 157342479 175538548 209789972 263307822 307192459 314684958 526615644 614384918 629369916 921577377 1228769836 1843154754 2150347213 3686309508 4300694426 4654982593 6451041639 8601388852 9309965186 12902083278 13964947779 18619930372 25804166556 27929895558 32584878151 55859791116 65169756302 97754634453 130339512604 190854286313 195509268906 228094147057 381708572626 391018537812 456188294114 572562858939 684282441171 763417145252 912376588228 1145125717878 1335980004191 1368564882342 2290251435756 2671960008382 2737129764684 4007940012573 5343920016764 8015880025146 9351860029337 16031760050292 18703720058674 28055580088011 37407440117348 56111160176022 112222320352044