Search a number
-
+
1301331232 = 25172818513
BaseRepresentation
bin100110110010000…
…1011110100100000
310100200200110212001
41031210023310200
510131120044412
6333044013344
744151063415
oct11544136440
93320613761
101301331232
11608627463
12303991254
131797b2ba6
14c4b8a10c
15793a4957
hex4d90bd20

1301331232 has 48 divisors (see below), whose sum is σ = 2722675032. Its totient is φ = 610140160.

The previous prime is 1301331221. The next prime is 1301331233. The reversal of 1301331232 is 2321331031.

It can be written as a sum of positive squares in 4 ways, for example, as 1267644816 + 33686416 = 35604^2 + 5804^2 .

It is not an unprimeable number, because it can be changed into a prime (1301331233) 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 7 ways as a sum of consecutive naturals, for example, 148608 + ... + 157120.

Almost surely, 21301331232 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 1301331232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1361337516).

1301331232 is an abundant number, since it is smaller than the sum of its proper divisors (1421343800).

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

1301331232 is a wasteful number, since it uses less digits than its factorization.

1301331232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8821 (or 8813 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 19.

The square root of 1301331232 is about 36073.9688972533. The cubic root of 1301331232 is about 1091.7652936966.

Adding to 1301331232 its reverse (2321331031), we get a palindrome (3622662263).

The spelling of 1301331232 in words is "one billion, three hundred one million, three hundred thirty-one thousand, two hundred thirty-two".

Divisors: 1 2 4 8 16 17 32 34 68 136 272 281 544 562 1124 2248 4496 4777 8513 8992 9554 17026 19108 34052 38216 68104 76432 136208 144721 152864 272416 289442 578884 1157768 2315536 2392153 4631072 4784306 9568612 19137224 38274448 40666601 76548896 81333202 162666404 325332808 650665616 1301331232