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112213341324 = 223273141350347
BaseRepresentation
bin110100010000001101…
…1111011010010001100
3101201122100012100212200
41220200123323102030
53314303103410244
6123314453201500
711051515443420
oct1504033732214
9351570170780
10112213341324
1143653562217
12198b8030290
13a773c1cc26
145607134b80
152dbb59c669
hex1a206fb48c

112213341324 has 144 divisors (see below), whose sum is σ = 342791694336. Its totient is φ = 30269894400.

The previous prime is 112213341319. The next prime is 112213341371. The reversal of 112213341324 is 423143312211.

112213341324 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 1 + 334 + 1 + 324 = 666.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 145119 + ... + 495465.

Almost surely, 2112213341324 is an apocalyptic number.

112213341324 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 112213341324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171395847168).

112213341324 is an abundant number, since it is smaller than the sum of its proper divisors (230578353012).

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

112213341324 is a wasteful number, since it uses less digits than its factorization.

112213341324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350436 (or 350431 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

Adding to 112213341324 its reverse (423143312211), we get a palindrome (535356653535).

The spelling of 112213341324 in words is "one hundred twelve billion, two hundred thirteen million, three hundred forty-one thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 31 36 41 42 62 63 82 84 93 123 124 126 164 186 217 246 252 279 287 369 372 434 492 558 574 651 738 861 868 1116 1148 1271 1302 1476 1722 1953 2542 2583 2604 3444 3813 3906 5084 5166 7626 7812 8897 10332 11439 15252 17794 22878 26691 35588 45756 53382 80073 106764 160146 320292 350347 700694 1051041 1401388 2102082 2452429 3153123 4204164 4904858 6306246 7357287 9809716 10860757 12612492 14364227 14714574 21721514 22071861 28728454 29429148 32582271 43092681 43443028 44143722 57456908 65164542 76025299 86185362 88287444 97746813 100549589 129278043 130329084 152050598 172370724 195493626 201099178 228075897 258556086 301648767 304101196 390987252 402198356 445291037 456151794 517112172 603297534 684227691 890582074 904946301 912303588 1206595068 1335873111 1368455382 1781164148 1809892602 2671746222 2736910764 3117037259 3619785204 4007619333 5343492444 6234074518 8015238666 9351111777 12468149036 16030477332 18702223554 28053335331 37404447108 56106670662 112213341324