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12131332430 = 2571743793001
BaseRepresentation
bin10110100110001010…
…10111000101001110
31011022110020112120112
423103011113011032
5144321110114210
65323440320022
7606424424060
oct132305270516
934273215515
1012131332430
115165903678
122426913012
1311b4428919
14831247730
154b0063d05
hex2d315714e

12131332430 has 128 divisors (see below), whose sum is σ = 27389767680. Its totient is φ = 3773952000.

The previous prime is 12131332429. The next prime is 12131332463. The reversal of 12131332430 is 3423313121.

12131332430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12131332396 and 12131332405.

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 63 ways as a sum of consecutive naturals, for example, 4040930 + ... + 4043930.

It is an arithmetic number, because the mean of its divisors is an integer number (213982560).

Almost surely, 212131332430 is an apocalyptic number.

12131332430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131332430 is an abundant number, since it is smaller than the sum of its proper divisors (15258435250).

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

12131332430 is a wasteful number, since it uses less digits than its factorization.

12131332430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3154.

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 12131332430 its reverse (3423313121), we get a palindrome (15554645551).

The spelling of 12131332430 in words is "twelve billion, one hundred thirty-one million, three hundred thirty-two thousand, four hundred thirty".

Divisors: 1 2 5 7 10 14 17 34 35 43 70 79 85 86 119 158 170 215 238 301 395 430 553 595 602 731 790 1106 1190 1343 1462 1505 2686 2765 3001 3010 3397 3655 5117 5530 6002 6715 6794 7310 9401 10234 13430 15005 16985 18802 21007 23779 25585 30010 33970 42014 47005 47558 51017 51170 57749 94010 102034 105035 115498 118895 129043 210070 237079 237790 255085 258086 288745 357119 404243 474158 510170 577490 645215 714238 808486 903301 1185395 1290430 1659553 1785595 1806602 2021215 2193731 2370790 3319106 3571190 4030343 4042430 4387462 4516505 8060686 8297765 9033010 10194397 10968655 15356117 16595530 20151715 20388794 21937310 28212401 30712234 40303430 50971985 56424802 71360779 76780585 101943970 141062005 142721558 153561170 173304749 282124010 346609498 356803895 713607790 866523745 1213133243 1733047490 2426266486 6065666215 12131332430