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112340034312 = 233114727133409
BaseRepresentation
bin110100010011111111…
…1001110001100001000
3101201222011121000222120
41220213333032030020
53320033022044222
6123335220451240
711054614351632
oct1504777161410
9351864530876
10112340034312
1143709025570
1219932549b20
13a79424b3ac
145619cb3a52
152dc777615c
hex1a27fce308

112340034312 has 128 divisors (see below), whose sum is σ = 314064691200. Its totient is φ = 33194188800.

The previous prime is 112340034299. The next prime is 112340034371. The reversal of 112340034312 is 213430043211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3345864 + ... + 3379272.

It is an arithmetic number, because the mean of its divisors is an integer number (2453630400).

Almost surely, 2112340034312 is an apocalyptic number.

112340034312 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 112340034312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157032345600).

112340034312 is an abundant number, since it is smaller than the sum of its proper divisors (201724656888).

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

112340034312 is a wasteful number, since it uses less digits than its factorization.

112340034312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33747 (or 33743 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 112340034312 its reverse (213430043211), we get a palindrome (325770077523).

The spelling of 112340034312 in words is "one hundred twelve billion, three hundred forty million, thirty-four thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 47 66 88 94 132 141 188 264 271 282 376 517 542 564 813 1034 1084 1128 1551 1626 2068 2168 2981 3102 3252 4136 5962 6204 6504 8943 11924 12408 12737 17886 23848 25474 33409 35772 38211 50948 66818 71544 76422 100227 101896 133636 140107 152844 200454 267272 280214 305688 367499 400908 420321 560428 734998 801816 840642 1102497 1120856 1469996 1570223 1681284 2204994 2939992 3140446 3362568 4409988 4710669 6280892 8819976 9053839 9421338 12561784 17272453 18107678 18842676 27161517 34544906 36215356 37685352 51817359 54323034 69089812 72430712 99592229 103634718 108646068 138179624 199184458 207269436 217292136 298776687 398368916 414538872 425530433 597553374 796737832 851060866 1195106748 1276591299 1702121732 2390213496 2553182598 3404243464 4680834763 5106365196 9361669526 10212730392 14042504289 18723339052 28085008578 37446678104 56170017156 112340034312