Search a number
-
+
112321312331300 = 225210145989241817
BaseRepresentation
bin11001100010011111010111…
…111011000001011000100100
3112201200210221101020021011222
4121202133113323001120210
5104210233021424100200
61034515410515115512
732441642554004042
oct3142372773013044
9481623841207158
10112321312331300
1132875223667216
12107207582a2b98
134a89b14ba3a47
141da4548229392
15cebb05e43d85
hex6627d7ec1624

112321312331300 has 72 divisors (see below), whose sum is σ = 246156858155880. Its totient is φ = 44482536832000.

The previous prime is 112321312331287. The next prime is 112321312331353. The reversal of 112321312331300 is 3133213123211.

It can be written as a sum of positive squares in 12 ways, for example, as 36719261168164 + 75602051163136 = 6059642^2 + 8694944^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 112321312331300.

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, 464367992 + ... + 464609808.

It is an arithmetic number, because the mean of its divisors is an integer number (3418845252165).

Almost surely, 2112321312331300 is an apocalyptic number.

112321312331300 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112321312331300 is an abundant number, since it is smaller than the sum of its proper divisors (133835545824580).

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

112321312331300 is a wasteful number, since it uses less digits than its factorization.

112321312331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287921 (or 287914 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 26.

Adding to 112321312331300 its reverse (3133213123211), we get a palindrome (115454525454511).

The spelling of 112321312331300 in words is "one hundred twelve trillion, three hundred twenty-one billion, three hundred twelve million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 101 202 404 505 1010 2020 2525 5050 10100 45989 91978 183956 229945 241817 459890 483634 919780 967268 1149725 1209085 2299450 2418170 4598900 4644889 4836340 6045425 9289778 12090850 18579556 23224445 24181700 24423517 46448890 48847034 92897780 97694068 116122225 122117585 232244450 244235170 464488900 488470340 610587925 1221175850 2442351700 11120922013 22241844026 44483688052 55604610065 111209220130 222418440260 278023050325 556046100650 1112092201300 1123213123313 2246426246626 4492852493252 5616065616565 11232131233130 22464262466260 28080328082825 56160656165650 112321312331300