Search a number
-
+
112360225400 = 23523159307163
BaseRepresentation
bin110100010100100110…
…0001111101001111000
3101202000120120211221122
41220221030033221320
53320103204203100
6123341221324412
711055251105033
oct1505114175170
9352016524848
10112360225400
1143719466415
1219939266708
13a79849a797
14561c84c01a
152dc9413985
hex1a2930fa78

112360225400 has 96 divisors (see below), whose sum is σ = 274236019200. Its totient is φ = 42756950400.

The previous prime is 112360225333. The next prime is 112360225421. The reversal of 112360225400 is 4522063211.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 112360225400.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212219 + ... + 519381.

It is an arithmetic number, because the mean of its divisors is an integer number (2856625200).

Almost surely, 2112360225400 is an apocalyptic number.

112360225400 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 112360225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137118009600).

112360225400 is an abundant number, since it is smaller than the sum of its proper divisors (161875793800).

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

112360225400 is a wasteful number, since it uses less digits than its factorization.

112360225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307269 (or 307260 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 112360225400 its reverse (4522063211), we get a palindrome (116882288611).

The spelling of 112360225400 in words is "one hundred twelve billion, three hundred sixty million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 31 40 50 59 62 100 118 124 155 200 236 248 295 310 472 590 620 775 1180 1240 1475 1550 1829 2360 2950 3100 3658 5900 6200 7316 9145 11800 14632 18290 36580 45725 73160 91450 182900 307163 365800 614326 1228652 1535815 2457304 3071630 6143260 7679075 9522053 12286520 15358150 18122617 19044106 30716300 36245234 38088212 47610265 61432600 72490468 76176424 90613085 95220530 144980936 181226170 190441060 238051325 362452340 380882120 453065425 476102650 561801127 724904680 906130850 952205300 1123602254 1812261700 1904410600 2247204508 2809005635 3624523400 4494409016 5618011270 11236022540 14045028175 22472045080 28090056350 56180112700 112360225400