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13001310030 = 2356112135857
BaseRepresentation
bin11000001101111000…
…00011111101001110
31020120002020222111010
430012330003331032
5203111313410110
65550035110050
7640120211652
oct140674037516
936502228433
1013001310030
11557199a725
12262a142326
1312c2740077
148b49caa62
15511610020
hex306f03f4e

13001310030 has 64 divisors (see below), whose sum is σ = 31746235968. Its totient is φ = 3406786560.

The previous prime is 13001310017. The next prime is 13001310089. The reversal of 13001310030 is 3001310031.

It is a junction number, because it is equal to n+sod(n) for n = 13001309988 and 13001310015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2216862 + ... + 2222718.

It is an arithmetic number, because the mean of its divisors is an integer number (496034937).

Almost surely, 213001310030 is an apocalyptic number.

13001310030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13001310030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15873117984).

13001310030 is an abundant number, since it is smaller than the sum of its proper divisors (18744925938).

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

13001310030 is a wasteful number, since it uses less digits than its factorization.

13001310030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7141.

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 13001310030 its reverse (3001310031), we get a palindrome (16002620061).

Subtracting from 13001310030 its reverse (3001310031), we obtain a palindrome (9999999999).

The spelling of 13001310030 in words is "thirteen billion, one million, three hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 61 122 183 305 366 610 915 1213 1830 2426 3639 5857 6065 7278 11714 12130 17571 18195 29285 35142 36390 58570 73993 87855 147986 175710 221979 357277 369965 443958 714554 739930 1071831 1109895 1786385 2143662 2219790 3572770 5359155 7104541 10718310 14209082 21313623 35522705 42627246 71045410 106568115 213136230 433377001 866754002 1300131003 2166885005 2600262006 4333770010 6500655015 13001310030