Search a number
-
+
112202021300 = 225217149442961
BaseRepresentation
bin110100001111111000…
…0101111100110110100
3101201121112220020201112
41220133300233212310
53314242204140200
6123313410414152
711051320305425
oct1503760574664
9351545806645
10112202021300
1143648130326
12198b4291358
13a7717885a5
14560582964c
152dba5b3535
hex1a1fc2f9b4

112202021300 has 72 divisors (see below), whose sum is σ = 259531435800. Its totient is φ = 41957171200.

The previous prime is 112202021299. The next prime is 112202021381. The reversal of 112202021300 is 3120202211.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 76898617636 + 35303403664 = 277306^2 + 187892^2 .

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, 31820 + ... + 474780.

It is an arithmetic number, because the mean of its divisors is an integer number (3604603275).

Almost surely, 2112202021300 is an apocalyptic number.

112202021300 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 112202021300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129765717900).

112202021300 is an abundant number, since it is smaller than the sum of its proper divisors (147329414500).

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

112202021300 is a wasteful number, since it uses less digits than its factorization.

112202021300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 443141 (or 443134 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 112202021300 its reverse (3120202211), we get a palindrome (115322223511).

The spelling of 112202021300 in words is "one hundred twelve billion, two hundred two million, twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 149 170 298 340 425 596 745 850 1490 1700 2533 2980 3725 5066 7450 10132 12665 14900 25330 50660 63325 126650 253300 442961 885922 1771844 2214805 4429610 7530337 8859220 11074025 15060674 22148050 30121348 37651685 44296100 66001189 75303370 132002378 150606740 188258425 264004756 330005945 376516850 660011890 753033700 1122020213 1320023780 1650029725 2244040426 3300059450 4488080852 5610101065 6600118900 11220202130 22440404260 28050505325 56101010650 112202021300