Search a number
-
+
1303004142 = 2321123359797
BaseRepresentation
bin100110110101010…
…0100001111101110
310100210211110122200
41031222210033232
510132032113032
6333143522330
744201231616
oct11552441756
93323743580
101303004142
1160956a330
123044593a6
13179c4a48b
14c50a3a46
15795d547c
hex4daa43ee

1303004142 has 96 divisors (see below), whose sum is σ = 3226728960. Its totient is φ = 376157760.

The previous prime is 1303004111. The next prime is 1303004159. The reversal of 1303004142 is 2414003031.

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

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1634488 + ... + 1635284.

It is an arithmetic number, because the mean of its divisors is an integer number (33611760).

Almost surely, 21303004142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1303004142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1613364480).

1303004142 is an abundant number, since it is smaller than the sum of its proper divisors (1923724818).

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

1303004142 is a wasteful number, since it uses less digits than its factorization.

1303004142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1198 (or 1195 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 1303004142 is about 36097.1486685583. The cubic root of 1303004142 is about 1092.2329284143.

Adding to 1303004142 its reverse (2414003031), we get a palindrome (3717007173).

The spelling of 1303004142 in words is "one billion, three hundred three million, four thousand, one hundred forty-two".

Divisors: 1 2 3 6 9 11 18 22 23 33 46 66 69 99 138 198 207 253 359 414 506 718 759 797 1077 1518 1594 2154 2277 2391 3231 3949 4554 4782 6462 7173 7898 8257 8767 11847 14346 16514 17534 18331 23694 24771 26301 35541 36662 49542 52602 54993 71082 74313 78903 90827 109986 148626 157806 164979 181654 201641 272481 286123 329958 403282 544962 572246 604923 817443 858369 1209846 1634886 1716738 1814769 2575107 3147353 3629538 5150214 6294706 6580829 9442059 13161658 18884118 19742487 28326177 39484974 56652354 59227461 72389119 118454922 144778238 217167357 434334714 651502071 1303004142