Search a number
-
+
112121300 = 22521736481
BaseRepresentation
bin1101010111011…
…01010111010100
321210222100111202
412223231113110
5212200340200
615043052032
72531005154
oct653552724
9253870452
10112121300
1158320435
1231671018
131a2c8a85
1410c68764
159c9b1d5
hex6aed5d4

112121300 has 36 divisors (see below), whose sum is σ = 244747356. Its totient is φ = 44582400.

The previous prime is 112121293. The next prime is 112121309. The reversal of 112121300 is 3121211.

It can be written as a sum of positive squares in 6 ways, for example, as 15335056 + 96786244 = 3916^2 + 9838^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112121309) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14060 + ... + 20540.

Almost surely, 2112121300 is an apocalyptic number.

112121300 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 112121300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122373678).

112121300 is an abundant number, since it is smaller than the sum of its proper divisors (132626056).

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

112121300 is a wasteful number, since it uses less digits than its factorization.

112121300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6668 (or 6661 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 11.

The square root of 112121300 is about 10588.7345797314. The cubic root of 112121300 is about 482.2024080602.

Adding to 112121300 its reverse (3121211), we get a palindrome (115242511).

The spelling of 112121300 in words is "one hundred twelve million, one hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 173 346 692 865 1730 3460 4325 6481 8650 12962 17300 25924 32405 64810 129620 162025 324050 648100 1121213 2242426 4484852 5606065 11212130 22424260 28030325 56060650 112121300