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113441331300 = 223521189386249
BaseRepresentation
bin110100110100110100…
…0010101100001100100
3101211210220212201102220
41221221220111201210
53324311440100200
6124040401232340
711124116256213
oct1515150254144
9354726781386
10113441331300
1144123746270
1219b9b3326b0
13a90b46450b
1456c226d07a
152e3e2b64a0
hex1a69a15864

113441331300 has 144 divisors (see below), whose sum is σ = 362086200000. Its totient is φ = 27191859200.

The previous prime is 113441331271. The next prime is 113441331319. The reversal of 113441331300 is 3133144311.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 100576 + ... + 486824.

It is an arithmetic number, because the mean of its divisors is an integer number (2514487500).

Almost surely, 2113441331300 is an apocalyptic number.

113441331300 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 113441331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181043100000).

113441331300 is an abundant number, since it is smaller than the sum of its proper divisors (248644868700).

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

113441331300 is a wasteful number, since it uses less digits than its factorization.

113441331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 386366 (or 386359 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 113441331300 its reverse (3133144311), we get a palindrome (116574475611).

The spelling of 113441331300 in words is "one hundred thirteen billion, four hundred forty-one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 89 100 110 132 150 165 178 220 267 275 300 330 356 445 534 550 660 825 890 979 1068 1100 1335 1650 1780 1958 2225 2670 2937 3300 3916 4450 4895 5340 5874 6675 8900 9790 11748 13350 14685 19580 24475 26700 29370 48950 58740 73425 97900 146850 293700 386249 772498 1158747 1544996 1931245 2317494 3862490 4248739 4634988 5793735 7724980 8497478 9656225 11587470 12746217 16994956 19312450 21243695 23174940 25492434 28968675 34376161 38624900 42487390 50984868 57937350 63731085 68752322 84974780 103128483 106218475 115874700 127462170 137504644 171880805 206256966 212436950 254924340 318655425 343761610 378137771 412513932 424873900 515642415 637310850 687523220 756275542 859404025 1031284830 1134413313 1274621700 1512551084 1718808050 1890688855 2062569660 2268826626 2578212075 3437616100 3781377710 4537653252 5156424150 5672066565 7562755420 9453444275 10312848300 11344133130 18906888550 22688266260 28360332825 37813777100 56720665650 113441331300