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30334103004120 = 23351572416680873
BaseRepresentation
bin1101110010110101101010…
…11011110010001111011000
310222101220121210102220010220
412321122311123302033120
512433443220332112440
6144303143342040040
76250365231150546
oct671326533621730
9128356553386126
1030334103004120
119735691379083
12349ab51879020
1313c06556aa626
1476c26d820d96
153790d63d18d0
hex1b96b56f23d8

30334103004120 has 128 divisors (see below), whose sum is σ = 91961963375040. Its totient is φ = 8004219125760.

The previous prime is 30334103004103. The next prime is 30334103004133. The reversal of 30334103004120 is 2140030143303.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1200004 + ... + 7880876.

Almost surely, 230334103004120 is an apocalyptic number.

30334103004120 is a gapful number since it is divisible by the number (30) 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 30334103004120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45980981687520).

30334103004120 is an abundant number, since it is smaller than the sum of its proper divisors (61627860370920).

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

30334103004120 is a wasteful number, since it uses less digits than its factorization.

30334103004120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681285 (or 6681281 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 30334103004120 its reverse (2140030143303), we get a palindrome (32474133147423).

The spelling of 30334103004120 in words is "thirty trillion, three hundred thirty-four billion, one hundred three million, four thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 157 241 314 471 482 628 723 785 942 964 1205 1256 1446 1570 1884 1928 2355 2410 2892 3140 3615 3768 4710 4820 5784 6280 7230 9420 9640 14460 18840 28920 37837 75674 113511 151348 189185 227022 302696 378370 454044 567555 756740 908088 1135110 1513480 2270220 4540440 6680873 13361746 20042619 26723492 33404365 40085238 53446984 66808730 80170476 100213095 133617460 160340952 200426190 267234920 400852380 801704760 1048897061 1610090393 2097794122 3146691183 3220180786 4195588244 4830271179 5244485305 6293382366 6440361572 8050451965 8391176488 9660542358 10488970610 12586764732 12880723144 15733455915 16100903930 19321084716 20977941220 24151355895 25173529464 31466911830 32201807860 38642169432 41955882440 48302711790 62933823660 64403615720 96605423580 125867647320 193210847160 252784191701 505568383402 758352575103 1011136766804 1263920958505 1516705150206 2022273533608 2527841917010 3033410300412 3791762875515 5055683834020 6066820600824 7583525751030 10111367668040 15167051502060 30334103004120