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13112213130 = 23251311112147
BaseRepresentation
bin11000011011000110…
…00111111010001010
31020211210221102221100
430031203013322022
5203323211310010
610005040122230
7642634654422
oct141543077212
936753842840
1013112213130
115619558885
12265b306376
13130c7004c3
148c5619482
1551b21a2c0
hex30d8c7e8a

13112213130 has 48 divisors (see below), whose sum is σ = 34352027424. Its totient is φ = 3469895520.

The previous prime is 13112213089. The next prime is 13112213131. The reversal of 13112213130 is 3131221131.

13112213130 is a `hidden beast` number, since 1 + 311 + 221 + 3 + 130 = 666.

13112213130 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×131122131303 (a number of 31 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (13112213131) 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 23 ways as a sum of consecutive naturals, for example, 544284 + ... + 567863.

It is an arithmetic number, because the mean of its divisors is an integer number (715667238).

Almost surely, 213112213130 is an apocalyptic number.

13112213130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13112213130 is an abundant number, since it is smaller than the sum of its proper divisors (21239814294).

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

13112213130 is a wasteful number, since it uses less digits than its factorization.

13112213130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1112291 (or 1112288 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 13112213130 its reverse (3131221131), we get a palindrome (16243434261).

The spelling of 13112213130 in words is "thirteen billion, one hundred twelve million, two hundred thirteen thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 131 262 393 655 786 1179 1310 1965 2358 3930 5895 11790 1112147 2224294 3336441 5560735 6672882 10009323 11121470 16682205 20018646 33364410 50046615 100093230 145691257 291382514 437073771 728456285 874147542 1311221313 1456912570 2185368855 2622442626 4370737710 6556106565 13112213130