Search a number
-
+
112231003331100 = 223523749192055479
BaseRepresentation
bin11001100001001011010001…
…000101100001101000011100
3112201101011211120220201110210
4121201023101011201220130
5104202243043323043400
61034410113335532420
732432264613114213
oct3141132105415034
9481334746821423
10112231003331100
113283a9a0584765
1210707153b2a110
134a81452052214
141da001c29407a
15ce95bc8cb950
hex6612d1161a1c

112231003331100 has 144 divisors (see below), whose sum is σ = 333565925414400. Its totient is φ = 29113461515520.

The previous prime is 112231003331077. The next prime is 112231003331107. The reversal of 112231003331100 is 1133300132211.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112231003331107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 53573161 + ... + 55628639.

It is an arithmetic number, because the mean of its divisors is an integer number (2316430037600).

Almost surely, 2112231003331100 is an apocalyptic number.

112231003331100 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 112231003331100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166782962707200).

112231003331100 is an abundant number, since it is smaller than the sum of its proper divisors (221334922083300).

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

112231003331100 is a wasteful number, since it uses less digits than its factorization.

112231003331100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2060452 (or 2060445 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 21.

Adding to 112231003331100 its reverse (1133300132211), we get a palindrome (113364303463311).

The spelling of 112231003331100 in words is "one hundred twelve trillion, two hundred thirty-one billion, three million, three hundred thirty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 60 74 75 100 111 148 150 185 222 300 370 444 555 740 925 1110 1850 2220 2775 3700 4919 5550 9838 11100 14757 19676 24595 29514 49190 59028 73785 98380 122975 147570 182003 245950 295140 364006 368925 491900 546009 728012 737850 910015 1092018 1475700 1820030 2055479 2184036 2730045 3640060 4110958 4550075 5460090 6166437 8221916 9100150 10277395 10920180 12332874 13650225 18200300 20554790 24665748 27300450 30832185 41109580 51386975 54600900 61664370 76052723 102773950 123328740 152105446 154160925 205547900 228158169 304210892 308321850 380263615 456316338 616643700 760527230 912632676 1140790845 1521054460 1901318075 2281581690 3802636150 4563163380 5703954225 7605272300 10110901201 11407908450 20221802402 22815816900 30332703603 40443604804 50554506005 60665407206 101109012010 121330814412 151663518015 202218024020 252772530025 303327036030 374103344437 505545060050 606654072060 748206688874 758317590075 1011090120100 1122310033311 1496413377748 1516635180150 1870516722185 2244620066622 3033270360300 3741033444370 4489240133244 5611550166555 7482066888740 9352583610925 11223100333110 18705167221850 22446200666220 28057750832775 37410334443700 56115501665550 112231003331100