Search a number
-
+
1303212330 = 232572295513
BaseRepresentation
bin100110110101101…
…0111000100101010
310100211020001020100
41031223113010222
510132110243310
6333152210230
744203056600
oct11553270452
93324201210
101303212330
116096a1792
12304539976
13179cc1174
14c5119870
1579626ec0
hex4dad712a

1303212330 has 72 divisors (see below), whose sum is σ = 3941565732. Its totient is φ = 297876096.

The previous prime is 1303212319. The next prime is 1303212349. The reversal of 1303212330 is 332123031.

1303212330 is a `hidden beast` number, since 13 + 0 + 321 + 2 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1303137801 + 74529 = 36099^2 + 273^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 143347 + ... + 152166.

Almost surely, 21303212330 is an apocalyptic number.

1303212330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1303212330 is an abundant number, since it is smaller than the sum of its proper divisors (2638353402).

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

1303212330 is a wasteful number, since it uses less digits than its factorization.

1303212330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 295540 (or 295530 counting only the distinct ones).

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

The square root of 1303212330 is about 36100.0322714537. The cubic root of 1303212330 is about 1092.2910959653.

Adding to 1303212330 its reverse (332123031), we get a palindrome (1635335361).

It can be divided in two parts, 130321 and 2330, that added together give a cube (132651 = 513).

The spelling of 1303212330 in words is "one billion, three hundred three million, two hundred twelve thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 49 63 70 90 98 105 126 147 210 245 294 315 441 490 630 735 882 1470 2205 4410 295513 591026 886539 1477565 1773078 2068591 2659617 2955130 4137182 4432695 5319234 6205773 8865390 10342955 12411546 13298085 14480137 18617319 20685910 26596170 28960274 31028865 37234638 43440411 62057730 72400685 86880822 93086595 130321233 144801370 186173190 217202055 260642466 434404110 651606165 1303212330