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13030323030 = 23251715156401
BaseRepresentation
bin11000010001010101…
…01111001101010110
31020122002211222211200
430020222233031112
5203141230314110
65552553013330
7640621626654
oct141052571526
936562758750
1013030323030
11558730660a
1226379b4246
1312c875aa1a
148b87bddd4
15513e416c0
hex308aaf356

13030323030 has 96 divisors (see below), whose sum is σ = 36109914048. Its totient is φ = 3248640000.

The previous prime is 13030323029. The next prime is 13030323071. The reversal of 13030323030 is 3032303031.

13030323030 is a `hidden beast` number, since 130 + 303 + 230 + 3 + 0 = 666.

13030323030 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-2 number, since 2×130303230302 (a number of 21 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 13030322994 and 13030323012.

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 202830 + ... + 259230.

It is an arithmetic number, because the mean of its divisors is an integer number (376144938).

Almost surely, 213030323030 is an apocalyptic number.

13030323030 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 13030323030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18054957024).

13030323030 is an abundant number, since it is smaller than the sum of its proper divisors (23079591018).

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

13030323030 is a wasteful number, since it uses less digits than its factorization.

13030323030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56582 (or 56579 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 18.

Adding to 13030323030 its reverse (3032303031), we get a palindrome (16062626061).

The spelling of 13030323030 in words is "thirteen billion, thirty million, three hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 45 51 85 90 102 151 153 170 255 302 306 453 510 755 765 906 1359 1510 1530 2265 2567 2718 4530 5134 6795 7701 12835 13590 15402 23103 25670 38505 46206 56401 77010 112802 115515 169203 231030 282005 338406 507609 564010 846015 958817 1015218 1692030 1917634 2538045 2876451 4794085 5076090 5752902 8516551 8629353 9588170 14382255 17033102 17258706 25549653 28764510 42582755 43146765 51099306 76648959 85165510 86293530 127748265 144781367 153297918 255496530 289562734 383244795 434344101 723906835 766489590 868688202 1303032303 1447813670 2171720505 2606064606 4343441010 6515161515 13030323030