Search a number
-
+
14321312130 = 23519376731009
BaseRepresentation
bin11010101011001110…
…11110000110000010
31100222002002000221210
431111213132012002
5213312223442010
610325031230550
71014616100406
oct152547360602
940862060853
1014321312130
11608a009854
122938218456
13147305c3b8
1499c037106
1558c451b20
hex3559de182

14321312130 has 128 divisors (see below), whose sum is σ = 37250092800. Its totient is φ = 3511517184.

The previous prime is 14321312129. The next prime is 14321312191. The reversal of 14321312130 is 3121312341.

14321312130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×143213121302 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 14321312097 and 14321312106.

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 63 ways as a sum of consecutive naturals, for example, 14193066 + ... + 14194074.

It is an arithmetic number, because the mean of its divisors is an integer number (291016350).

Almost surely, 214321312130 is an apocalyptic number.

14321312130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14321312130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18625046400).

14321312130 is an abundant number, since it is smaller than the sum of its proper divisors (22928780670).

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

14321312130 is a wasteful number, since it uses less digits than its factorization.

14321312130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1748.

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 14321312130 its reverse (3121312341), we get a palindrome (17442624471).

The spelling of 14321312130 in words is "fourteen billion, three hundred twenty-one million, three hundred twelve thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 19 30 37 38 57 74 95 111 114 185 190 222 285 370 555 570 673 703 1009 1110 1346 1406 2018 2019 2109 3027 3365 3515 4038 4218 5045 6054 6730 7030 10090 10095 10545 12787 15135 19171 20190 21090 24901 25574 30270 37333 38342 38361 49802 57513 63935 74666 74703 76722 95855 111999 115026 124505 127870 149406 186665 191710 191805 223998 249010 287565 373330 373515 383610 473119 559995 575130 679057 709327 747030 946238 1119990 1358114 1418654 1419357 2037171 2127981 2365595 2838714 3395285 3546635 4074342 4255962 4731190 6790570 7093270 7096785 10185855 10639905 12902083 14193570 20371710 21279810 25125109 25804166 38706249 50250218 64510415 75375327 77412498 125625545 129020830 150750654 193531245 251251090 376876635 387062490 477377071 753753270 954754142 1432131213 2386885355 2864262426 4773770710 7160656065 14321312130