Search a number
-
+
112523052200 = 235213613072311
BaseRepresentation
bin110100011001011100…
…1011000010010101000
3101202102220222022022212
41220302321120102220
53320421400132300
6123405315304252
711062266106526
oct1506271302250
9352386868285
10112523052200
11437a2369619
12199838ab088
13a7c313aac0
145636315316
152dd8878935
hex1a32e584a8

112523052200 has 192 divisors, whose sum is σ = 287416187520. Its totient is φ = 40715136000.

The previous prime is 112523052133. The next prime is 112523052211. The reversal of 112523052200 is 2250325211.

It is a super-2 number, since 2×1125230522002 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48689045 + ... + 48691355.

It is an arithmetic number, because the mean of its divisors is an integer number (1496959310).

Almost surely, 2112523052200 is an apocalyptic number.

112523052200 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 112523052200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143708093760).

112523052200 is an abundant number, since it is smaller than the sum of its proper divisors (174893135320).

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

112523052200 is a wasteful number, since it uses less digits than its factorization.

112523052200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2708 (or 2699 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

Adding to 112523052200 its reverse (2250325211), we get a palindrome (114773377411).

The spelling of 112523052200 in words is "one hundred twelve billion, five hundred twenty-three million, fifty-two thousand, two hundred".