Search a number
-
+
2323121112 = 2332134575431
BaseRepresentation
bin1000101001111000…
…0000001111011000
312222220100210001200
42022132000033120
514224204333422
61022304314200
7111366126564
oct21236001730
95886323050
102323121112
11a92383304
1254a012960
132b03ac0a0
1418076a6a4
15d8e3c2ac
hex8a7803d8

2323121112 has 96 divisors (see below), whose sum is σ = 6791846880. Its totient is φ = 713111040.

The previous prime is 2323121081. The next prime is 2323121117. The reversal of 2323121112 is 2111213232.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2323121117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 425037 + ... + 430467.

It is an arithmetic number, because the mean of its divisors is an integer number (70748405).

Almost surely, 22323121112 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 2323121112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3395923440).

2323121112 is an abundant number, since it is smaller than the sum of its proper divisors (4468725768).

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

2323121112 is a wasteful number, since it uses less digits than its factorization.

2323121112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5913 (or 5906 counting only the distinct ones).

The product of its digits is 144, while the sum is 18.

The square root of 2323121112 is about 48198.7667062136. The cubic root of 2323121112 is about 1324.4145721829.

Adding to 2323121112 its reverse (2111213232), we get a palindrome (4434334344).

The spelling of 2323121112 in words is "two billion, three hundred twenty-three million, one hundred twenty-one thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 457 468 914 936 1371 1828 2742 3656 4113 5431 5484 5941 8226 10862 10968 11882 16293 16452 17823 21724 23764 32586 32904 35646 43448 47528 48879 53469 65172 70603 71292 97758 106938 130344 141206 142584 195516 211809 213876 282412 391032 423618 427752 564824 635427 847236 1270854 1694472 2481967 2541708 4963934 5083416 7445901 9927868 14891802 19855736 22337703 29783604 32265571 44675406 59567208 64531142 89350812 96796713 129062284 178701624 193593426 258124568 290390139 387186852 580780278 774373704 1161560556 2323121112