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30411120113310 = 23517412129683129
BaseRepresentation
bin1101110101000101001000…
…00000101111011010011110
310222200021102020201102012110
412322202210000233122132
512441223433222111220
6144402401542014450
76256062622605516
oct672424400573236
9128607366642173
1030411120113310
119765313540142
1234b1a66717426
1313c79aa83b5a1
14771c98368846
1537b0e2a8abe0
hex1ba8a402f69e

30411120113310 has 128 divisors (see below), whose sum is σ = 79202201500800. Its totient is φ = 7442925486080.

The previous prime is 30411120113281. The next prime is 30411120113359. The reversal of 30411120113310 is 1331102111403.

It is a super-3 number, since 3×304111201133103 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

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, 44175826 + ... + 44858954.

It is an arithmetic number, because the mean of its divisors is an integer number (618767199225).

Almost surely, 230411120113310 is an apocalyptic number.

30411120113310 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 30411120113310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39601100750400).

30411120113310 is an abundant number, since it is smaller than the sum of its proper divisors (48791081387490).

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

30411120113310 is a wasteful number, since it uses less digits than its factorization.

30411120113310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 685326.

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 30411120113310 its reverse (1331102111403), we get a palindrome (31742222224713).

The spelling of 30411120113310 in words is "thirty trillion, four hundred eleven billion, one hundred twenty million, one hundred thirteen thousand, three hundred ten".

Divisors: 1 2 3 5 6 10 15 17 30 34 41 51 82 85 102 123 170 205 246 255 410 510 615 697 1230 1394 2091 2129 3485 4182 4258 6387 6970 10455 10645 12774 20910 21290 31935 36193 63870 72386 87289 108579 174578 180965 217158 261867 361930 436445 523734 542895 683129 872890 1085790 1309335 1366258 1483913 2049387 2618670 2967826 3415645 4098774 4451739 6831290 7419565 8903478 10246935 11613193 14839130 20493870 22258695 23226386 28008289 34839579 44517390 56016578 58065965 69679158 84024867 116131930 140041445 168049734 174197895 280082890 348395790 420124335 476140913 840248670 952281826 1428422739 1454381641 2380704565 2856845478 2908763282 4363144923 4761409130 7142113695 7271908205 8726289846 14284227390 14543816410 21815724615 24724487897 43631449230 49448975794 59629647281 74173463691 119259294562 123622439485 148346927382 178888941843 247244878970 298148236405 357777883686 370867318455 596296472810 741734636910 894444709215 1013704003777 1788889418430 2027408007554 3041112011331 5068520018885 6082224022662 10137040037770 15205560056655 30411120113310