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112540123300 = 225211835572213
BaseRepresentation
bin110100011001111101…
…0100000000010100100
3101202111010002121110211
41220303322200002210
53320440232421200
6123411125225204
711062564156513
oct1506372400244
9352433077424
10112540123300
1143800a69370
1219989562204
13a7c6837047
1456386ba67a
152dda0ebaba
hex1a33ea00a4

112540123300 has 144 divisors (see below), whose sum is σ = 270229079232. Its totient is φ = 40339801600.

The previous prime is 112540123237. The next prime is 112540123307. The reversal of 112540123300 is 3321045211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (112540123307) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50852994 + ... + 50855206.

It is an arithmetic number, because the mean of its divisors is an integer number (1876590828).

Almost surely, 2112540123300 is an apocalyptic number.

112540123300 is a gapful number since it is divisible by the number (10) 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 112540123300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135114539616).

112540123300 is an abundant number, since it is smaller than the sum of its proper divisors (157688955932).

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

112540123300 is a wasteful number, since it uses less digits than its factorization.

112540123300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2878 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 112540123300 its reverse (3321045211), we get a palindrome (115861168511).

The spelling of 112540123300 in words is "one hundred twelve billion, five hundred forty million, one hundred twenty-three thousand, three hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 83 100 110 166 220 275 332 415 550 557 830 913 1100 1114 1660 1826 2075 2213 2228 2785 3652 4150 4426 4565 5570 6127 8300 8852 9130 11065 11140 12254 13925 18260 22130 22825 24343 24508 27850 30635 44260 45650 46231 48686 55325 55700 61270 91300 92462 97372 110650 121715 122540 153175 183679 184924 221300 231155 243430 306350 367358 462310 486860 508541 608575 612700 734716 918395 924620 1017082 1155775 1217150 1232641 1836790 2020469 2034164 2311550 2434300 2465282 2542705 3673580 4040938 4591975 4623100 4930564 5085410 6163205 8081876 9183950 10102345 10170820 12326410 12713525 13559051 18367900 20204690 24652820 25427050 27118102 30816025 40409380 50511725 50854100 54236204 61632050 67795255 101023450 102309203 123264100 135590510 202046900 204618406 271181020 338976275 409236812 511546015 677952550 1023092030 1125401233 1355905100 2046184060 2250802466 2557730075 4501604932 5115460150 5627006165 10230920300 11254012330 22508024660 28135030825 56270061650 112540123300