Search a number
-
+
1303013322 = 2321321014241
BaseRepresentation
bin100110110101010…
…0110011111001010
310100210211221020200
41031222212133022
510132032411242
6333144033030
744201300442
oct11552463712
93323757220
101303013322
11609576216
12304462776
13179c51700
14c50a7122
15795d804c
hex4daa67ca

1303013322 has 72 divisors (see below), whose sum is σ = 3088065708. Its totient is φ = 396864000.

The previous prime is 1303013317. The next prime is 1303013329. The reversal of 1303013322 is 2233103031.

1303013322 is a `hidden beast` number, since 1 + 30 + 301 + 332 + 2 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 945009081 + 358004241 = 30741^2 + 18921^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 1303013295 and 1303013304.

It is not an unprimeable number, because it can be changed into a prime (1303013329) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 305122 + ... + 309362.

Almost surely, 21303013322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303013322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1544032854).

1303013322 is an abundant number, since it is smaller than the sum of its proper divisors (1785052386).

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

1303013322 is a wasteful number, since it uses less digits than its factorization.

1303013322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4376 (or 4360 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 1303013322 is about 36097.2758251921. The cubic root of 1303013322 is about 1092.2354934291.

Adding to 1303013322 its reverse (2233103031), we get a palindrome (3536116353).

The spelling of 1303013322 in words is "one billion, three hundred three million, thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 9 13 18 26 39 78 101 117 169 202 234 303 338 507 606 909 1014 1313 1521 1818 2626 3042 3939 4241 7878 8482 11817 12723 17069 23634 25446 34138 38169 51207 55133 76338 102414 110266 153621 165399 307242 330798 428341 496197 716729 856682 992394 1285023 1433458 2150187 2570046 3855069 4300374 5568433 6450561 7710138 11136866 12901122 16705299 33410598 50115897 72389629 100231794 144779258 217168887 434337774 651506661 1303013322