Search a number
-
+
12131102230 = 25132291271949
BaseRepresentation
bin10110100110001000…
…11110111000010110
31011022102210211210121
423103010132320112
5144321030232410
65323431342154
7606422444662
oct132304367026
934272724717
1012131102230
115165766725
12242682195a
1311b4377c00
148311c78a2
154b001a9da
hex2d311ee16

12131102230 has 96 divisors (see below), whose sum is σ = 24665472000. Its totient is φ = 4288467456.

The previous prime is 12131102227. The next prime is 12131102239. The reversal of 12131102230 is 3220113121.

12131102230 is digitally balanced in base 2 and base 5, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131102239) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6223296 + ... + 6225244.

It is an arithmetic number, because the mean of its divisors is an integer number (256932000).

Almost surely, 212131102230 is an apocalyptic number.

12131102230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12131102230 is an abundant number, since it is smaller than the sum of its proper divisors (12534369770).

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

12131102230 is a wasteful number, since it uses less digits than its factorization.

12131102230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2125 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 12131102230 its reverse (3220113121), we get a palindrome (15351215351).

The spelling of 12131102230 in words is "twelve billion, one hundred thirty-one million, one hundred two thousand, two hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 127 130 145 169 254 290 338 377 635 754 845 1270 1651 1690 1885 1949 3302 3683 3770 3898 4901 7366 8255 9745 9802 16510 18415 19490 21463 24505 25337 36830 42926 47879 49010 50674 56521 95758 107315 113042 126685 214630 239395 247523 253370 282605 329381 478790 495046 565210 622427 658762 734773 1237615 1244854 1469546 1646905 2475230 3112135 3217799 3293810 3673865 6224270 6435598 7178167 7347730 9552049 14356334 16088995 19104098 32177990 35890835 41831387 47760245 71781670 83662774 93316171 95520490 186632342 209156935 418313870 466580855 933161710 1213110223 2426220446 6065551115 12131102230