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12000230300130 = 2353146140216961
BaseRepresentation
bin1010111010100000010101…
…1101101101100111100010
31120111012200200102120011220
42232220011131231213202
53033102432424101010
641304455114115510
72345662615355322
oct256500535554742
946435620376156
1012000230300130
1139072a6182796
121419884a1bb96
13690803325657
142d6b5840b282
1515c248262970
hexaea0576d9e2

12000230300130 has 128 divisors (see below), whose sum is σ = 29805783017472. Its totient is φ = 3088903680000.

The previous prime is 12000230300129. The next prime is 12000230300171. The reversal of 12000230300130 is 3100303200021.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1723919850 + ... + 1723926810.

It is an arithmetic number, because the mean of its divisors is an integer number (232857679824).

Almost surely, 212000230300130 is an apocalyptic number.

12000230300130 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 12000230300130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14902891508736).

12000230300130 is an abundant number, since it is smaller than the sum of its proper divisors (17805552717342).

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

12000230300130 is a wasteful number, since it uses less digits than its factorization.

12000230300130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11484.

The product of its (nonzero) digits is 108, while the sum is 15.

Adding to 12000230300130 its reverse (3100303200021), we get a palindrome (15100533500151).

The spelling of 12000230300130 in words is "twelve trillion, two hundred thirty million, three hundred thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 461 465 922 930 1383 2305 2766 4021 4610 6915 6961 8042 12063 13830 13922 14291 20105 20883 24126 28582 34805 40210 41766 42873 60315 69610 71455 85746 104415 120630 124651 142910 208830 214365 215791 249302 373953 428730 431582 623255 647373 747906 1078955 1246510 1294746 1853681 1869765 2157910 3209021 3236865 3707362 3739530 5561043 6418042 6473730 9268405 9627063 11122086 16045105 18536810 19254126 27805215 27990181 32090210 48135315 55610430 55980362 57464111 83970543 96270630 99479651 114928222 139950905 167941086 172392333 198959302 279901810 287320555 298438953 344784666 419852715 497398255 574641110 596877906 839705430 861961665 867695611 994796510 1492194765 1723923330 1735391222 2603086833 2984389530 4338478055 5206173666 8676956110 12903473441 13015434165 25806946882 26030868330 38710420323 64517367205 77420840646 129034734410 193552101615 387104203230 400007676671 800015353342 1200023030013 2000038383355 2400046060026 4000076766710 6000115150065 12000230300130