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30311312101120 = 285731061305743
BaseRepresentation
bin1101110010001011001101…
…11111011000111100000000
310222022201210110100001201101
412321011212333120330000
512433110031344213440
6144244454033544144
76245630366524321
oct671054677307400
9128281713301641
1030311312101120
119726a56515356
123496651115054
1313bb462a3c2cb
1476b10aa02448
1537870062669a
hex1b9166fd8f00

30311312101120 has 144 divisors (see below), whose sum is σ = 73669263841152. Its totient is φ = 11947125473280.

The previous prime is 30311312101051. The next prime is 30311312101151. The reversal of 30311312101120 is 2110121311303.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 98986969 + ... + 99292711.

It is an arithmetic number, because the mean of its divisors is an integer number (511592110008).

Almost surely, 230311312101120 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30311312101120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36834631920576).

30311312101120 is an abundant number, since it is smaller than the sum of its proper divisors (43357951740032).

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

30311312101120 is a wasteful number, since it uses less digits than its factorization.

30311312101120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 306898 (or 306884 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 19.

Adding to 30311312101120 its reverse (2110121311303), we get a palindrome (32421433412423).

The spelling of 30311312101120 in words is "thirty trillion, three hundred eleven billion, three hundred twelve million, one hundred one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 73 80 128 146 160 256 292 320 365 584 640 730 1061 1168 1280 1460 2122 2336 2920 4244 4672 5305 5840 8488 9344 10610 11680 16976 18688 21220 23360 33952 42440 46720 67904 77453 84880 93440 135808 154906 169760 271616 305743 309812 339520 387265 611486 619624 679040 774530 1222972 1239248 1358080 1528715 1549060 2445944 2478496 3057430 3098120 4891888 4956992 6114860 6196240 9783776 9913984 12229720 12392480 19567552 19827968 22319239 24459440 24784960 39135104 44638478 48918880 49569920 78270208 89276956 97837760 99139840 111596195 178553912 195675520 223192390 324393323 357107824 391351040 446384780 648786646 714215648 892769560 1297573292 1428431296 1621966615 1785539120 2595146584 2856862592 3243933230 3571078240 5190293168 5713725184 6487866460 7142156480 10380586336 12975732920 14284312960 20761172672 23680712579 25951465840 28568625920 41522345344 47361425158 51902931680 83044690688 94722850316 103805863360 118403562895 189445700632 207611726720 236807125790 378891401264 415223453440 473614251580 757782802528 947228503160 1515565605056 1894457006320 3031131210112 3788914012640 6062262420224 7577828025280 15155656050560 30311312101120