Search a number
-
+
13021230330 = 23654341539
BaseRepresentation
bin11000010000010000…
…00011010011111010
31020121110202001000000
430020020003103322
5203131413332310
65552030053430
7640451426433
oct141010032372
936543661000
1013021230330
115582166089
12263494a276
1312c68c6124
148b74d448a
155132474c0
hex3082034fa

13021230330 has 112 divisors (see below), whose sum is σ = 35959350240. Its totient is φ = 3391494624.

The previous prime is 13021230329. The next prime is 13021230331. The reversal of 13021230330 is 3303212031.

13021230330 is a `hidden beast` number, since 1 + 302 + 1 + 2 + 30 + 330 = 666.

It is an interprime number because it is at equal distance from previous prime (13021230329) and next prime (13021230331).

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

It is not an unprimeable number, because it can be changed into a prime (13021230331) 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 55 ways as a sum of consecutive naturals, for example, 292701 + ... + 334239.

Almost surely, 213021230330 is an apocalyptic number.

13021230330 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 13021230330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17979675120).

13021230330 is an abundant number, since it is smaller than the sum of its proper divisors (22938119910).

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

13021230330 is an equidigital number, since it uses as much as digits as its factorization.

13021230330 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41607 (or 41592 counting only the distinct ones).

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

Adding to 13021230330 its reverse (3303212031), we get a palindrome (16324442361).

The spelling of 13021230330 in words is "thirteen billion, twenty-one million, two hundred thirty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 43 45 54 81 86 90 129 135 162 215 243 258 270 387 405 430 486 645 729 774 810 1161 1215 1290 1458 1935 2322 2430 3483 3645 3870 5805 6966 7290 10449 11610 17415 20898 31347 34830 41539 52245 62694 83078 104490 124617 156735 207695 249234 313470 373851 415390 623085 747702 1121553 1246170 1786177 1869255 2243106 3364659 3572354 3738510 5358531 5607765 6729318 8930885 10093977 10717062 11215530 16075593 16823295 17861770 20187954 26792655 30281931 32151186 33646590 48226779 50469885 53585310 60563862 80377965 96453558 100939770 144680337 151409655 160755930 241133895 289360674 302819310 434041011 482267790 723401685 868082022 1302123033 1446803370 2170205055 2604246066 4340410110 6510615165 13021230330