Search a number
-
+
1000113232 = 242316316673
BaseRepresentation
bin111011100111001…
…000010001010000
32120200220000102211
4323213020101100
54022012110412
6243123521504
733532552006
oct7347102120
92520800384
101000113232
114735a0968
1223ab29294
1312c2798a1
1496b7aa76
155cc04ca7
hex3b9c8450

1000113232 has 40 divisors (see below), whose sum is σ = 2034494784. Its totient is φ = 475352064.

The previous prime is 1000113197. The next prime is 1000113253. The reversal of 1000113232 is 2323110001.

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 51648 + ... + 68320.

Almost surely, 21000113232 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 1000113232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1017247392).

1000113232 is an abundant number, since it is smaller than the sum of its proper divisors (1034381552).

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

1000113232 is a wasteful number, since it uses less digits than its factorization.

1000113232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16867 (or 16861 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

The square root of 1000113232 is about 31624.5669061254. The cubic root of 1000113232 is about 1000.0377425755.

Adding to 1000113232 its reverse (2323110001), we get a palindrome (3323223233).

The spelling of 1000113232 in words is "one billion, one hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 23 46 92 163 184 326 368 652 1304 2608 3749 7498 14996 16673 29992 33346 59984 66692 133384 266768 383479 766958 1533916 2717699 3067832 5435398 6135664 10870796 21741592 43483184 62507077 125014154 250028308 500056616 1000113232