Search a number
-
+
112023031200 = 2535288352861
BaseRepresentation
bin110100001010100010…
…1111100110110100000
3101201011002002121110120
41220111011330312200
53313410343444300
6123243534200240
711044015024413
oct1502505746640
9351132077416
10112023031200
1143566098423
1219864353080
13a7436792a2
1455c9b55b7a
152da9a093a0
hex1a1517cda0

112023031200 has 144 divisors (see below), whose sum is σ = 365054822496. Its totient is φ = 29838412800.

The previous prime is 112023031129. The next prime is 112023031201. The reversal of 112023031200 is 2130320211.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 112023031200.

It is not an unprimeable number, because it can be changed into a prime (112023031201) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 2092770 + ... + 2145630.

It is an arithmetic number, because the mean of its divisors is an integer number (2535102934).

Almost surely, 2112023031200 is an apocalyptic number.

112023031200 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 112023031200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182527411248).

112023031200 is an abundant number, since it is smaller than the sum of its proper divisors (253031791296).

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

112023031200 is a wasteful number, since it uses less digits than its factorization.

112023031200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53767 (or 53754 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 112023031200 its reverse (2130320211), we get a palindrome (114153351411).

The spelling of 112023031200 in words is "one hundred twelve billion, twenty-three million, thirty-one thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 883 1200 1766 2400 2649 3532 4415 5298 7064 8830 10596 13245 14128 17660 21192 22075 26490 28256 35320 42384 44150 52861 52980 66225 70640 84768 88300 105722 105960 132450 141280 158583 176600 211444 211920 264305 264900 317166 353200 422888 423840 528610 529800 634332 706400 792915 845776 1057220 1059600 1268664 1321525 1585830 1691552 2114440 2119200 2537328 2643050 3171660 3964575 4228880 5074656 5286100 6343320 7929150 8457760 10572200 12686640 15858300 21144400 25373280 31716600 42288800 46676263 63433200 93352526 126866400 140028789 186705052 233381315 280057578 373410104 466762630 560115156 700143945 746820208 933525260 1120230312 1166906575 1400287890 1493640416 1867050520 2240460624 2333813150 2800575780 3500719725 3734101040 4480921248 4667626300 5601151560 7001439450 7468202080 9335252600 11202303120 14002878900 18670505200 22404606240 28005757800 37341010400 56011515600 112023031200