Search a number
-
+
112111033300 = 225271929290669
BaseRepresentation
bin110100001101001010…
…1101001101111010100
3101201101012200120122121
41220122111221233110
53314100411031200
6123300400305324
711046134026330
oct1503225515724
9351335616577
10112111033300
1143600834732
1219889912244
13a75897ba36
1455d77027c0
152db25dde1a
hex1a1a569bd4

112111033300 has 144 divisors (see below), whose sum is σ = 302761872000. Its totient is φ = 35159201280.

The previous prime is 112111033283. The next prime is 112111033301. The reversal of 112111033300 is 3330111211.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112111033301) 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, 240366 + ... + 531034.

It is an arithmetic number, because the mean of its divisors is an integer number (2102513000).

Almost surely, 2112111033300 is an apocalyptic number.

112111033300 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 112111033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151380936000).

112111033300 is an abundant number, since it is smaller than the sum of its proper divisors (190650838700).

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

112111033300 is a wasteful number, since it uses less digits than its factorization.

112111033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290738 (or 290731 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 112111033300 its reverse (3330111211), we get a palindrome (115441144511).

The spelling of 112111033300 in words is "one hundred twelve billion, one hundred eleven million, thirty-three thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 29 35 38 50 58 70 76 95 100 116 133 140 145 175 190 203 266 290 350 380 406 475 532 551 580 665 700 725 812 950 1015 1102 1330 1450 1900 2030 2204 2660 2755 2900 3325 3857 4060 5075 5510 6650 7714 10150 11020 13300 13775 15428 19285 20300 27550 38570 55100 77140 96425 192850 290669 385700 581338 1162676 1453345 2034683 2906690 4069366 5522711 5813380 7266725 8138732 8429401 10173415 11045422 14533450 16858802 20346830 22090844 27613555 29066900 33717604 38658977 40693660 42147005 50867075 55227110 59005807 77317954 84294010 101734150 110454220 118011614 138067775 154635908 160158619 168588020 193294885 203468300 210735025 236023228 276135550 295029035 320317238 386589770 421470050 552271100 590058070 640634476 773179540 800793095 842940100 966474425 1121110333 1180116140 1475145175 1601586190 1932948850 2242220666 2950290350 3203172380 3865897700 4003965475 4484441332 5605551665 5900580700 8007930950 11211103330 16015861900 22422206660 28027758325 56055516650 112111033300