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12131430520 = 23511171621849
BaseRepresentation
bin10110100110001011…
…01111000001111000
31011022110102112010111
423103011233001320
5144321121234040
65323442354104
7606425313046
oct132305570170
934273375114
1012131430520
115165970340
12242695b934
1311b4461471
14831271396
154b0082dea
hex2d316f078

12131430520 has 64 divisors (see below), whose sum is σ = 31528764000. Its totient is φ = 4151930880.

The previous prime is 12131430511. The next prime is 12131430527. The reversal of 12131430520 is 2503413121.

It is a happy number.

12131430520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a junction number, because it is equal to n+sod(n) for n = 12131430491 and 12131430500.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12131430527) 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 15 ways as a sum of consecutive naturals, for example, 803445 + ... + 818404.

Almost surely, 212131430520 is an apocalyptic number.

12131430520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12131430520 is an abundant number, since it is smaller than the sum of its proper divisors (19397333480).

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

12131430520 is a wasteful number, since it uses less digits than its factorization.

12131430520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1621888 (or 1621884 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

Adding to 12131430520 its reverse (2503413121), we get a palindrome (14634843641).

The spelling of 12131430520 in words is "twelve billion, one hundred thirty-one million, four hundred thirty thousand, five hundred twenty".

Divisors: 1 2 4 5 8 10 11 17 20 22 34 40 44 55 68 85 88 110 136 170 187 220 340 374 440 680 748 935 1496 1870 3740 7480 1621849 3243698 6487396 8109245 12974792 16218490 17840339 27571433 32436980 35680678 55142866 64873960 71361356 89201695 110285732 137857165 142722712 178403390 220571464 275714330 303285763 356806780 551428660 606571526 713613560 1102857320 1213143052 1516428815 2426286104 3032857630 6065715260 12131430520