Search a number
-
+
12303302130 = 23257127915269
BaseRepresentation
bin10110111010101010…
…10111110111110010
31011202102211111122200
423131111113313302
5200144121132010
65352502244030
7613613225340
oct133525276762
934672744580
1012303302130
115243990a99
122474426616
131210c4a642
1484a010990
154c01d2cc0
hex2dd557df2

12303302130 has 96 divisors (see below), whose sum is σ = 36589363200. Its totient is φ = 2809800576.

The previous prime is 12303302093. The next prime is 12303302149. The reversal of 12303302130 is 3120330321.

12303302130 is a `hidden beast` number, since 1 + 230 + 3 + 302 + 130 = 666.

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 47 ways as a sum of consecutive naturals, for example, 798136 + ... + 813404.

It is an arithmetic number, because the mean of its divisors is an integer number (381139200).

Almost surely, 212303302130 is an apocalyptic number.

12303302130 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 12303302130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18294681600).

12303302130 is an abundant number, since it is smaller than the sum of its proper divisors (24286061070).

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

12303302130 is a wasteful number, since it uses less digits than its factorization.

12303302130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16568 (or 16565 counting only the distinct ones).

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

Adding to 12303302130 its reverse (3120330321), we get a palindrome (15423632451).

The spelling of 12303302130 in words is "twelve billion, three hundred three million, three hundred two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 30 35 42 45 63 70 90 105 126 210 315 630 1279 2558 3837 6395 7674 8953 11511 12790 15269 17906 19185 23022 26859 30538 38370 44765 45807 53718 57555 76345 80577 89530 91614 106883 115110 134295 137421 152690 161154 213766 229035 268590 274842 320649 402885 458070 534415 641298 687105 805770 961947 1068830 1374210 1603245 1923894 3206490 4809735 9619470 19529051 39058102 58587153 97645255 117174306 136703357 175761459 195290510 273406714 292935765 351522918 410110071 585871530 683516785 820220142 878807295 1230330213 1367033570 1757614590 2050550355 2460660426 4101100710 6151651065 12303302130