Search a number
-
+
2112303312 = 243371722417
BaseRepresentation
bin111110111100111…
…0011000011010000
312110012200010102000
41331321303003100
513311222201222
6545333554000
7103226165460
oct17571630320
95405603360
102112303312
11994381819
124ab4a5900
13278807c22
1416076dba0
15c56979ac
hex7de730d0

2112303312 has 240 divisors, whose sum is σ = 7363873920. Its totient is φ = 567779328.

The previous prime is 2112303299. The next prime is 2112303337. The reversal of 2112303312 is 2133032112.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 872728 + ... + 875144.

It is an arithmetic number, because the mean of its divisors is an integer number (30682808).

Almost surely, 22112303312 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112303312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3681936960).

2112303312 is an abundant number, since it is smaller than the sum of its proper divisors (5251570608).

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

2112303312 is a wasteful number, since it uses less digits than its factorization.

2112303312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2475 (or 2446 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 2112303312 is about 45959.8010439558. The cubic root of 2112303312 is about 1283.0751484809.

Adding to 2112303312 its reverse (2133032112), we get a palindrome (4245335424).

The spelling of 2112303312 in words is "two billion, one hundred twelve million, three hundred three thousand, three hundred twelve".