Search a number
-
+
2323003100 = 2252119912131
BaseRepresentation
bin1000101001110110…
…0011011011011100
312222220010210011212
42022131203123130
514224142044400
61022302003552
7111365125535
oct21235433334
95886123155
102323003100
11a92302680
12549b765b8
132b036a462
1418073968c
15d8e17335
hex8a7636dc

2323003100 has 72 divisors (see below), whose sum is σ = 5507314176. Its totient is φ = 843480000.

The previous prime is 2323003093. The next prime is 2323003127. The reversal of 2323003100 is 13003232.

It is a super-2 number, since 2×23230031002 = 10792686805219220000, which contains 22 as substring.

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 23 ways as a sum of consecutive naturals, for example, 1089035 + ... + 1091165.

Almost surely, 22323003100 is an apocalyptic number.

2323003100 is a gapful number since it is divisible by the number (20) 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 2323003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753657088).

2323003100 is an abundant number, since it is smaller than the sum of its proper divisors (3184311076).

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

2323003100 is a wasteful number, since it uses less digits than its factorization.

2323003100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3147 (or 3140 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 14.

The square root of 2323003100 is about 48197.5424684703. The cubic root of 2323003100 is about 1324.3921455348.

Adding to 2323003100 its reverse (13003232), we get a palindrome (2336006332).

The spelling of 2323003100 in words is "two billion, three hundred twenty-three million, three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 991 1100 1982 2131 3964 4262 4955 8524 9910 10655 10901 19820 21310 21802 23441 24775 42620 43604 46882 49550 53275 54505 93764 99100 106550 109010 117205 213100 218020 234410 272525 468820 545050 586025 1090100 1172050 2111821 2344100 4223642 8447284 10559105 21118210 23230031 42236420 46460062 52795525 92920124 105591050 116150155 211182100 232300310 464600620 580750775 1161501550 2323003100