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13142210340 = 2235756355579
BaseRepresentation
bin11000011110101011…
…00011011100100100
31020220220101110101010
430033111203130210
5203403401212330
610012031102220
7643450642020
oct141725433444
936826343333
1013142210340
115634487166
122669371970
1313159a412c
148c95c7380
1551db933b0
hex30f563724

13142210340 has 96 divisors (see below), whose sum is σ = 42130529280. Its totient is φ = 2998544256.

The previous prime is 13142210303. The next prime is 13142210363. The reversal of 13142210340 is 4301224131.

13142210340 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 (21).

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 31 ways as a sum of consecutive naturals, for example, 208671 + ... + 264249.

It is an arithmetic number, because the mean of its divisors is an integer number (438859680).

Almost surely, 213142210340 is an apocalyptic number.

13142210340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13142210340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21065264640).

13142210340 is an abundant number, since it is smaller than the sum of its proper divisors (28988318940).

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

13142210340 is a wasteful number, since it uses less digits than its factorization.

13142210340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56161 (or 56159 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 13142210340 its reverse (4301224131), we get a palindrome (17443434471).

The spelling of 13142210340 in words is "thirteen billion, one hundred forty-two million, two hundred ten thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 563 1126 1689 2252 2815 3378 3941 5630 6756 7882 8445 11260 11823 15764 16890 19705 23646 33780 39410 47292 55579 59115 78820 111158 118230 166737 222316 236460 277895 333474 389053 555790 666948 778106 833685 1111580 1167159 1556212 1667370 1945265 2334318 3334740 3890530 4668636 5835795 7781060 11671590 23343180 31290977 62581954 93872931 125163908 156454885 187745862 219036839 312909770 375491724 438073678 469364655 625819540 657110517 876147356 938729310 1095184195 1314221034 1877458620 2190368390 2628442068 3285552585 4380736780 6571105170 13142210340