Search a number
-
+
112300323313300 = 2252103107101896673
BaseRepresentation
bin11001100010001011110100…
…111000010001011010010100
3112201121210202121200200021221
4121202023310320101122110
5104204412030232011200
61034502020055420124
732440300462205533
oct3142136470213224
9481553677620257
10112300323313300
1132867332935351
121071867b084644
134a87b4b635775
141da351685431a
15ceb2c846591a
hex6622f4e11694

112300323313300 has 72 divisors (see below), whose sum is σ = 248357246993856. Its totient is φ = 44068272706560.

The previous prime is 112300323313289. The next prime is 112300323313303. The reversal of 112300323313300 is 3313323003211.

It is a super-2 number, since 2×1123003233133002 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112300323313303) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 49846237 + ... + 52050436.

It is an arithmetic number, because the mean of its divisors is an integer number (3449406208248).

Almost surely, 2112300323313300 is an apocalyptic number.

112300323313300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112300323313300 is an abundant number, since it is smaller than the sum of its proper divisors (136056923680556).

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

112300323313300 is a wasteful number, since it uses less digits than its factorization.

112300323313300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101896897 (or 101896890 counting only the distinct ones).

The product of its (nonzero) digits is 2916, while the sum is 25.

Adding to 112300323313300 its reverse (3313323003211), we get a palindrome (115613646316511).

The spelling of 112300323313300 in words is "one hundred twelve trillion, three hundred billion, three hundred twenty-three million, three hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 103 107 206 214 412 428 515 535 1030 1070 2060 2140 2575 2675 5150 5350 10300 10700 11021 22042 44084 55105 110210 220420 275525 551050 1102100 101896673 203793346 407586692 509483365 1018966730 2037933460 2547416825 5094833650 10189667300 10495357319 10902944011 20990714638 21805888022 41981429276 43611776044 52476786595 54514720055 104953573190 109029440110 209907146380 218058880220 262383932975 272573600275 524767865950 545147200550 1049535731900 1090294401100 1123003233133 2246006466266 4492012932532 5615016165665 11230032331330 22460064662660 28075080828325 56150161656650 112300323313300