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112300233010 = 25721376132729
BaseRepresentation
bin110100010010110011…
…1011001000100110010
3101201212101200220212021
41220211213121010302
53314442324424020
6123331235422054
711053622142100
oct1504547310462
9351771626767
10112300233010
1143698610229
121992115492a
13a788c24124
1456148b2c70
152dc40131aa
hex1a259d9132

112300233010 has 96 divisors (see below), whose sum is σ = 237332637360. Its totient is φ = 38145558528.

The previous prime is 112300232971. The next prime is 112300233043. The reversal of 112300233010 is 10332003211.

It can be written as a sum of positive squares in 8 ways, for example, as 45621115281 + 66679117729 = 213591^2 + 258223^2 .

It is a super-2 number, since 2×1123002330102 (a number of 23 digits) contains 22 as substring.

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, 41149326 + ... + 41152054.

Almost surely, 2112300233010 is an apocalyptic number.

112300233010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112300233010 is an abundant number, since it is smaller than the sum of its proper divisors (125032404350).

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

112300233010 is a wasteful number, since it uses less digits than its factorization.

112300233010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3500 (or 3493 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 112300233010 its reverse (10332003211), we get a palindrome (122632236221).

The spelling of 112300233010 in words is "one hundred twelve billion, three hundred million, two hundred thirty-three thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 137 245 274 490 613 685 959 1226 1370 1918 2729 3065 4291 4795 5458 6130 6713 8582 9590 13426 13645 19103 21455 27290 30037 33565 38206 42910 60074 67130 83981 95515 133721 150185 167962 191030 267442 300370 373873 419905 587867 668605 747746 839810 1175734 1337210 1672877 1869365 2617111 2939335 3345754 3738730 4115069 5234222 5878670 8230138 8364385 11710139 13085555 16728770 18319777 20575345 23420278 26171110 36639554 41150690 58550695 81970973 91598885 117101390 163941946 183197770 229184149 409854865 458368298 819709730 1145920745 1604289043 2291841490 3208578086 8021445215 11230023301 16042890430 22460046602 56150116505 112300233010