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112210444302 = 231119734432767
BaseRepresentation
bin110100010000001000…
…0111000000000001110
3101201122010202011220120
41220200100320000032
53314301333204202
6123314311125410
711051452016325
oct1504020700016
9351563664816
10112210444302
1143651963690
12198b7073866
13a773447408
1456069bd0bc
152dbb1c90bc
hex1a2043800e

112210444302 has 128 divisors (see below), whose sum is σ = 261922775040. Its totient is φ = 31689066240.

The previous prime is 112210444277. The next prime is 112210444319. The reversal of 112210444302 is 203444012211.

112210444302 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 40551723 + ... + 40554489.

It is an arithmetic number, because the mean of its divisors is an integer number (2046271680).

Almost surely, 2112210444302 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112210444302, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130961387520).

112210444302 is an abundant number, since it is smaller than the sum of its proper divisors (149712330738).

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

112210444302 is a wasteful number, since it uses less digits than its factorization.

112210444302 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3318.

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 112210444302 its reverse (203444012211), we get a palindrome (315654456513).

The spelling of 112210444302 in words is "one hundred twelve billion, two hundred ten million, four hundred forty-four thousand, three hundred two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 73 114 146 209 219 418 438 443 627 803 886 1254 1329 1387 1606 2409 2658 2767 2774 4161 4818 4873 5534 8301 8322 8417 9746 14619 15257 16602 16834 25251 29238 30437 30514 32339 45771 50502 52573 60874 64678 91311 91542 92587 97017 105146 157719 182622 185174 194034 201991 277761 315438 355729 403982 555522 578303 605973 614441 711458 1067187 1156606 1211946 1225781 1228882 1734909 1843323 2134374 2221901 2451562 3469818 3677343 3686646 3837829 4443802 6665703 6758851 7354686 7675658 11513487 13331406 13483591 13517702 20276553 23026974 23289839 26967182 40450773 40553106 42216119 46579678 69869517 80901546 84432238 89482013 126648357 139739034 178964026 253296714 256188229 268446039 512376458 536892078 768564687 984302143 1537129374 1700158247 1968604286 2952906429 3400316494 5100474741 5905812858 10200949482 18701740717 37403481434 56105222151 112210444302