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112330103130 = 23357103957203
BaseRepresentation
bin110100010011101100…
…1010101100101011010
3101201221110220110222000
41220213121111211122
53320023001300010
6123334223541430
711054434060020
oct1504731254532
9351843813860
10112330103130
1143703462083
121992b15a876
13a792181c5b
14561884a710
152dc69637c0
hex1a2765595a

112330103130 has 128 divisors (see below), whose sum is σ = 342674841600. Its totient is φ = 25650292032.

The previous prime is 112330103113. The next prime is 112330103141. The reversal of 112330103130 is 31301033211.

It is a happy number.

112330103130 is a `hidden beast` number, since 1 + 12 + 330 + 10 + 313 + 0 = 666.

112330103130 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

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 63 ways as a sum of consecutive naturals, for example, 1935109 + ... + 1992311.

It is an arithmetic number, because the mean of its divisors is an integer number (2677147200).

Almost surely, 2112330103130 is an apocalyptic number.

112330103130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112330103130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171337420800).

112330103130 is an abundant number, since it is smaller than the sum of its proper divisors (230344738470).

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

112330103130 is a wasteful number, since it uses less digits than its factorization.

112330103130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58265 (or 58259 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 112330103130 its reverse (31301033211), we get a palindrome (143631136341).

The spelling of 112330103130 in words is "one hundred twelve billion, three hundred thirty million, one hundred three thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 27 30 35 42 45 54 63 70 90 105 126 135 189 210 270 315 378 630 945 1039 1890 2078 3117 5195 6234 7273 9351 10390 14546 15585 18702 21819 28053 31170 36365 43638 46755 56106 57203 65457 72730 93510 109095 114406 130914 140265 171609 196371 218190 280530 286015 327285 343218 392742 400421 514827 572030 654570 800842 858045 981855 1029654 1201263 1544481 1716090 1963710 2002105 2402526 2574135 3088962 3603789 4004210 5148270 6006315 7207578 7722405 10811367 12012630 15444810 18018945 21622734 36037890 54056835 59433917 108113670 118867834 178301751 297169585 356603502 416037419 534905253 594339170 832074838 891508755 1069810506 1248112257 1604715759 1783017510 2080187095 2496224514 2674526265 3209431518 3744336771 4160374190 5349052530 6240561285 7488673542 8023578795 11233010313 12481122570 16047157590 18721683855 22466020626 37443367710 56165051565 112330103130