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112033320132030 = 235116473217163109
BaseRepresentation
bin11001011110010011001010…
…001111111101110110111110
3112200200021120201002201101020
4121132103022033331312332
5104141023214423211110
61034135221410525010
732412066053464653
oct3136231217756676
9480607521081336
10112033320132030
113277407856a380
1210694984296766
134a68909a0b48b
141d94627b75c2a
15ce439ca46d70
hex65e4ca3fddbe

112033320132030 has 128 divisors (see below), whose sum is σ = 293870083138560. Its totient is φ = 27109019351040.

The previous prime is 112033320131951. The next prime is 112033320132043. The reversal of 112033320132030 is 30231023330211.

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, 686780116 + ... + 686943224.

It is an arithmetic number, because the mean of its divisors is an integer number (2295860024520).

Almost surely, 2112033320132030 is an apocalyptic number.

112033320132030 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 112033320132030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146935041569280).

112033320132030 is an abundant number, since it is smaller than the sum of its proper divisors (181836763006530).

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

112033320132030 is a wasteful number, since it uses less digits than its factorization.

112033320132030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166994.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 112033320132030 its reverse (30231023330211), we get a palindrome (142264343462241).

The spelling of 112033320132030 in words is "one hundred twelve trillion, thirty-three billion, three hundred twenty million, one hundred thirty-two thousand, thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 647 1294 1941 3217 3235 3882 6434 6470 7117 9651 9705 14234 16085 19302 19410 21351 32170 35387 35585 42702 48255 70774 71170 96510 106161 106755 163109 176935 212322 213510 326218 353870 489327 530805 815545 978654 1061610 1631090 1794199 2081399 2446635 3588398 4162798 4893270 5382597 6244197 8970995 10406995 10765194 12488394 17941990 20813990 22895389 26912985 31220985 45790778 53825970 62441970 68686167 105531523 114476945 137372334 211063046 228953890 316594569 343430835 524721653 527657615 633189138 686861670 1049443306 1055315230 1160846753 1574164959 1582972845 2321693506 2623608265 3148329918 3165945690 3482540259 5247216530 5771938183 5804233765 6965080518 7870824795 11543876366 11608467530 15741649590 17315814549 17412701295 28859690915 34631629098 34825402590 57719381830 86579072745 173158145490 339494909491 678989818982 1018484728473 1697474547455 2036969456946 3394949094910 3734444004401 5092423642365 7468888008802 10184847284730 11203332013203 18672220022005 22406664026406 37344440044010 56016660066015 112033320132030