Search a number
-
+
111023247100 = 2252233710911969
BaseRepresentation
bin110011101100110000…
…0000100111011111100
3101121120101211022111211
41213121200010323330
53304333422401400
6123000421254204
711010155013103
oct1473140047374
9347511738454
10111023247100
11430a2801877
1219625564364
13a6144b646c
14553306303a
152d4bd6bdba
hex19d9804efc

111023247100 has 144 divisors (see below), whose sum is σ = 260580196800. Its totient is φ = 40947793920.

The previous prime is 111023247079. The next prime is 111023247103. The reversal of 111023247100 is 1742320111.

It is a happy number.

It is a super-3 number, since 3×1110232471003 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111023247103) 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, 9269916 + ... + 9281884.

It is an arithmetic number, because the mean of its divisors is an integer number (1809584700).

Almost surely, 2111023247100 is an apocalyptic number.

111023247100 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 111023247100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130290098400).

111023247100 is an abundant number, since it is smaller than the sum of its proper divisors (149556949700).

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

111023247100 is a wasteful number, since it uses less digits than its factorization.

111023247100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12152 (or 12145 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 22.

Adding to 111023247100 its reverse (1742320111), we get a palindrome (112765567211).

The spelling of 111023247100 in words is "one hundred eleven billion, twenty-three million, two hundred forty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 37 46 50 74 92 100 109 115 148 185 218 230 370 436 460 545 575 740 851 925 1090 1150 1702 1850 2180 2300 2507 2725 3404 3700 4033 4255 5014 5450 8066 8510 10028 10900 11969 12535 16132 17020 20165 21275 23938 25070 40330 42550 47876 50140 59845 62675 80660 85100 92759 100825 119690 125350 185518 201650 239380 250700 275287 299225 371036 403300 442853 463795 550574 598450 885706 927590 1101148 1196900 1304621 1376435 1771412 1855180 2214265 2318975 2609242 2752870 4428530 4637950 5218484 5505740 6523105 6882175 8857060 9275900 10185619 11071325 13046210 13764350 20371238 22142650 26092420 27528700 30006283 32615525 40742476 44285300 48270977 50928095 60012566 65231050 96541954 101856190 120025132 130462100 150031415 193083908 203712380 241354885 254640475 300062830 482709770 509280950 600125660 750157075 965419540 1018561900 1110232471 1206774425 1500314150 2220464942 2413548850 3000628300 4440929884 4827097700 5551162355 11102324710 22204649420 27755811775 55511623550 111023247100