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13030270032 = 24313160113043
BaseRepresentation
bin11000010001010101…
…00010010001010000
31020122002202022010210
430020222202101100
5203141222120112
65552551524120
7640621316313
oct141052422120
936562668123
1013030270032
11558727a80a
122637989640
1312c873c870
148b87a897a
15513e30b3c
hex308aa2450

13030270032 has 80 divisors (see below), whose sum is σ = 36276303168. Its totient is φ = 4006502400.

The previous prime is 13030270027. The next prime is 13030270037. The reversal of 13030270032 is 23007203031.

It is an interprime number because it is at equal distance from previous prime (13030270027) and next prime (13030270037).

It is a junction number, because it is equal to n+sod(n) for n = 13030269990 and 13030270008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13030270037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 992503 + ... + 1005545.

Almost surely, 213030270032 is an apocalyptic number.

13030270032 is a gapful number since it is divisible by the number (12) 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 13030270032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18138151584).

13030270032 is an abundant number, since it is smaller than the sum of its proper divisors (23246033136).

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

13030270032 is a wasteful number, since it uses less digits than its factorization.

13030270032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14668 (or 14662 counting only the distinct ones).

The product of its (nonzero) digits is 756, while the sum is 21.

Adding to 13030270032 its reverse (23007203031), we get a palindrome (36037473063).

The spelling of 13030270032 in words is "thirteen billion, thirty million, two hundred seventy thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 312 624 1601 3202 4803 6404 9606 12808 13043 19212 20813 25616 26086 38424 39129 41626 52172 62439 76848 78258 83252 104344 124878 156516 166504 169559 208688 249756 313032 333008 339118 499512 508677 626064 678236 999024 1017354 1356472 2034708 2712944 4069416 8138832 20881843 41763686 62645529 83527372 125291058 167054744 250582116 271463959 334109488 501164232 542927918 814391877 1002328464 1085855836 1628783754 2171711672 3257567508 4343423344 6515135016 13030270032