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112241102320 = 24531471039349
BaseRepresentation
bin110100010001000010…
…1110100110111110000
3101201201021102202210201
41220202011310313300
53314332210233240
6123321324204544
711052303425314
oct1504205646760
9351637382721
10112241102320
11436681a3496
1219905399754
13a7798bca59
14560aabdb44
152dbdc32d9a
hex1a22174df0

112241102320 has 160 divisors (see below), whose sum is σ = 277810790400. Its totient is φ = 42106383360.

The previous prime is 112241102269. The next prime is 112241102333. The reversal of 112241102320 is 23201142211.

112241102320 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 12001006 + ... + 12010354.

It is an arithmetic number, because the mean of its divisors is an integer number (1736317440).

Almost surely, 2112241102320 is an apocalyptic number.

112241102320 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 112241102320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138905395200).

112241102320 is an abundant number, since it is smaller than the sum of its proper divisors (165569688080).

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

112241102320 is a wasteful number, since it uses less digits than its factorization.

112241102320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543 (or 9537 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 19.

Adding to 112241102320 its reverse (23201142211), we get a palindrome (135442244531).

The spelling of 112241102320 in words is "one hundred twelve billion, two hundred forty-one million, one hundred two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 31 40 47 62 80 94 103 124 155 188 206 235 248 310 376 412 470 496 515 620 752 824 940 1030 1240 1457 1648 1880 2060 2480 2914 3193 3760 4120 4841 5828 6386 7285 8240 9349 9682 11656 12772 14570 15965 18698 19364 23312 24205 25544 29140 31930 37396 38728 46745 48410 51088 58280 63860 74792 77456 93490 96820 116560 127720 149584 150071 186980 193640 255440 289819 300142 373960 387280 439403 579638 600284 747920 750355 878806 962947 1159276 1200568 1449095 1500710 1757612 1925894 2197015 2318552 2401136 2898190 3001420 3515224 3851788 4394030 4637104 4814735 5796380 6002840 7030448 7703576 8788060 9629470 11592760 12005680 13621493 15407152 17576120 19258940 23185520 27242986 29851357 35152240 38517880 45258509 54485972 59702714 68107465 77035760 90517018 108971944 119405428 136214930 149256785 181034036 217943888 226292545 238810856 272429860 298513570 362068072 452585090 477621712 544859720 597027140 724136144 905170180 1089719440 1194054280 1403013779 1810340360 2388108560 2806027558 3620680720 5612055116 7015068895 11224110232 14030137790 22448220464 28060275580 56120551160 112241102320