Search a number
-
+
111030113200032 = 2534133295053217
BaseRepresentation
bin11001001111101100110110…
…011101001110011110100000
3112120010101010111021021020000
4121033230312131032132200
5104023104132434400112
61032050310240420000
732246442465324645
oct3117546635163640
9476111114237200
10111030113200032
1132417674396a64
1210552468317600
1349c5130217b50
141d5bc5985bdcc
15cc82349b37dc
hex64fb3674e7a0

111030113200032 has 120 divisors (see below), whose sum is σ = 351654669531396. Its totient is φ = 34163111743488.

The previous prime is 111030113199989. The next prime is 111030113200033. The reversal of 111030113200032 is 230002311030111.

111030113200032 is a `hidden beast` number, since 1 + 1 + 10 + 301 + 1 + 320 + 0 + 0 + 32 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 110480196033936 + 549917166096 = 10510956^2 + 741564^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 111030113199978 and 111030113200014.

It is not an unprimeable number, because it can be changed into a prime (111030113200033) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1647492913 + ... + 1647560304.

Almost surely, 2111030113200032 is an apocalyptic number.

111030113200032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

111030113200032 is an abundant number, since it is smaller than the sum of its proper divisors (240624556331364).

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

111030113200032 is a wasteful number, since it uses less digits than its factorization.

111030113200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3295053252 (or 3295053235 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 111030113200032 its reverse (230002311030111), we get a palindrome (341032424230143).

The spelling of 111030113200032 in words is "one hundred eleven trillion, thirty billion, one hundred thirteen million, two hundred thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 72 78 81 96 104 108 117 144 156 162 208 216 234 288 312 324 351 416 432 468 624 648 702 864 936 1053 1248 1296 1404 1872 2106 2592 2808 3744 4212 5616 8424 11232 16848 33696 3295053217 6590106434 9885159651 13180212868 19770319302 26360425736 29655478953 39540638604 42835691821 52720851472 59310957906 79081277208 85671383642 88966436859 105441702944 118621915812 128507075463 158162554416 171342767284 177932873718 237243831624 257014150926 266899310577 316325108832 342685534568 355865747436 385521226389 474487663248 514028301852 533798621154 685371069136 711731494872 771042452778 948975326496 1028056603704 1067597242308 1156563679167 1370742138272 1423462989744 1542084905556 2056113207408 2135194484616 2313127358334 2846925979488 3084169811112 3469691037501 4112226414816 4270388969232 4626254716668 6168339622224 6939382075002 8540777938464 9252509433336 12336679244448 13878764150004 18505018866672 27757528300008 37010037733344 55515056600016 111030113200032