Search a number
-
+
12302333000 = 235325747869
BaseRepresentation
bin10110111010100011…
…01011010001001000
31011202101000021020222
423131101223101020
5200143344124000
65352425405212
7613602051026
oct133521532110
934671007228
1012302333000
115243389961
122474039808
13121099b4a9
14849c3b716
154c0090a85
hex2dd46b448

12302333000 has 64 divisors (see below), whose sum is σ = 28900076400. Its totient is φ = 4901683200.

The previous prime is 12302332997. The next prime is 12302333011. The reversal of 12302333000 is 33320321.

It can be written as a sum of positive squares in 8 ways, for example, as 4771217476 + 7531115524 = 69074^2 + 86782^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12302333000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 233066 + ... + 280934.

Almost surely, 212302333000 is an apocalyptic number.

12302333000 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 12302333000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14450038200).

12302333000 is an abundant number, since it is smaller than the sum of its proper divisors (16597743400).

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

12302333000 is a wasteful number, since it uses less digits than its factorization.

12302333000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48147 (or 48133 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 17.

Adding to 12302333000 its reverse (33320321), we get a palindrome (12335653321).

The spelling of 12302333000 in words is "twelve billion, three hundred two million, three hundred thirty-three thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 257 500 514 1000 1028 1285 2056 2570 5140 6425 10280 12850 25700 32125 47869 51400 64250 95738 128500 191476 239345 257000 382952 478690 957380 1196725 1914760 2393450 4786900 5983625 9573800 11967250 12302333 23934500 24604666 47869000 49209332 61511665 98418664 123023330 246046660 307558325 492093320 615116650 1230233300 1537791625 2460466600 3075583250 6151166500 12302333000