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30130240410030 = 23523181271890237
BaseRepresentation
bin1101101100111001111100…
…10001101101000110101110
310221200102102021000002200010
412312130332101231012232
512422123213021110110
6144025350311114050
76226560305534355
oct666347621550656
9127612367002603
1030130240410030
119667188243862
123467538672926
1313a7367079427
1476245075699c
15373b53cca020
hex1b673e46d1ae

30130240410030 has 128 divisors (see below), whose sum is σ = 76153550893056. Its totient is φ = 7614722649600.

The previous prime is 30130240409953. The next prime is 30130240410071. The reversal of 30130240410030 is 3001404203103.

It is a junction number, because it is equal to n+sod(n) for n = 30130240409979 and 30130240410006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 33400072 + ... + 34290308.

It is an arithmetic number, because the mean of its divisors is an integer number (594949616352).

Almost surely, 230130240410030 is an apocalyptic number.

30130240410030 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30130240410030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38076775446528).

30130240410030 is an abundant number, since it is smaller than the sum of its proper divisors (46023310483026).

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

30130240410030 is a wasteful number, since it uses less digits than its factorization.

30130240410030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 890722.

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 30130240410030 its reverse (3001404203103), we get a palindrome (33131644613133).

The spelling of 30130240410030 in words is "thirty trillion, one hundred thirty billion, two hundred forty million, four hundred ten thousand, thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 138 181 230 271 345 362 542 543 690 813 905 1086 1355 1626 1810 2710 2715 4065 4163 5430 6233 8130 8326 12466 12489 18699 20815 24978 31165 37398 41630 49051 62330 62445 93495 98102 124890 147153 186990 245255 294306 490510 735765 890237 1128173 1471530 1780474 2256346 2670711 3384519 4451185 5341422 5640865 6769038 8902370 11281730 13353555 16922595 20475451 26707110 33845190 40950902 61426353 102377255 122852706 161132897 204754510 241254227 307131765 322265794 482508454 483398691 614263530 723762681 805664485 966797382 1206271135 1447525362 1611328970 2412542270 2416993455 3618813405 3706056631 4833986910 5548847221 7237626810 7412113262 11097694442 11118169893 16646541663 18530283155 22236339786 27744236105 33293083326 37060566310 43667015087 55488472210 55590849465 83232708315 87334030174 111181698930 131001045261 166465416630 218335075435 262002090522 436670150870 655005226305 1004341347001 1310010452610 2008682694002 3013024041003 5021706735005 6026048082006 10043413470010 15065120205015 30130240410030