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130011000030 = 23254798331267
BaseRepresentation
bin111100100010101000…
…0100110110011011110
3110102120200122002211100
41321011100212303132
54112230304000110
6135420510533530
712251536160262
oct1710520466336
9412520562740
10130011000030
115015690266a
12212445072a6
13c34c256622
146414b300a2
1535adcd7bc0
hex1e45426cde

130011000030 has 96 divisors (see below), whose sum is σ = 345582941184. Its totient is φ = 33896346048.

The previous prime is 130011000023. The next prime is 130011000043. The reversal of 130011000030 is 30000110031.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 130010999976 and 130011000021.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4142457 + ... + 4173723.

It is an arithmetic number, because the mean of its divisors is an integer number (3599822304).

Almost surely, 2130011000030 is an apocalyptic number.

130011000030 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 130011000030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172791470592).

130011000030 is an abundant number, since it is smaller than the sum of its proper divisors (215571941154).

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

130011000030 is a wasteful number, since it uses less digits than its factorization.

130011000030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32310 (or 32307 counting only the distinct ones).

The product of its (nonzero) digits is 9, while the sum is 9.

Adding to 130011000030 its reverse (30000110031), we get a palindrome (160011110061).

The spelling of 130011000030 in words is "one hundred thirty billion, eleven million, thirty", and thus it is an aban number.

Divisors: 1 2 3 5 6 9 10 15 18 30 45 47 90 94 141 235 282 423 470 705 846 983 1410 1966 2115 2949 4230 4915 5898 8847 9830 14745 17694 29490 31267 44235 46201 62534 88470 92402 93801 138603 156335 187602 231005 277206 281403 312670 415809 462010 469005 562806 693015 831618 938010 1386030 1407015 1469549 2079045 2814030 2939098 4158090 4408647 7347745 8817294 13225941 14695490 22043235 26451882 30735461 44086470 61470922 66129705 92206383 132259410 153677305 184412766 276619149 307354610 461031915 553238298 922063830 1383095745 1444566667 2766191490 2889133334 4333700001 7222833335 8667400002 13001100003 14445666670 21668500005 26002200006 43337000010 65005500015 130011000030