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111001011001074 = 232457100917337717
BaseRepresentation
bin11001001111010001101111…
…110101001001011011110010
3112120000121000022100101100100
4121033101233311021123302
5104022120032304013244
61032025054355333230
732244362346605565
oct3117215765113362
9476017008311310
10111001011001074
113240629aa13167
12105488a5bb1216
1349c2472b5958c
141d5a69875a4dc
15cc75ceaceb69
hex64f46fd496f2

111001011001074 has 96 divisors (see below), whose sum is σ = 241437833947440. Its totient is φ = 36856724115456.

The previous prime is 111001011001073. The next prime is 111001011001121. The reversal of 111001011001074 is 470100110100111.

It can be written as a sum of positive squares in 8 ways, for example, as 63540141036849 + 47460869964225 = 7971207^2 + 6889185^2 .

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

It is not an unprimeable number, because it can be changed into a prime (111001011001073) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14383955064 + ... + 14383962780.

Almost surely, 2111001011001074 is an apocalyptic number.

111001011001074 is an abundant number, since it is smaller than the sum of its proper divisors (130436822946366).

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

111001011001074 is a wasteful number, since it uses less digits than its factorization.

111001011001074 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10924 (or 10921 counting only the distinct ones).

The product of its (nonzero) digits is 28, while the sum is 18.

Adding to 111001011001074 its reverse (470100110100111), we get a palindrome (581101121101185).

The spelling of 111001011001074 in words is "one hundred eleven trillion, one billion, eleven million, one thousand, seventy-four".

Divisors: 1 2 3 6 9 18 457 914 1009 1371 1733 2018 2742 3027 3466 4113 5199 6054 7717 8226 9081 10398 15434 15597 18162 23151 31194 46302 69453 138906 461113 791981 922226 1383339 1583962 1748597 2375943 2766678 3497194 3526669 4150017 4751886 5245791 7053338 7127829 7786453 8300034 10491582 10580007 13373561 14255658 15572906 15737373 21160014 23359359 26747122 31474746 31740021 40120683 46718718 63480042 70078077 80241366 120362049 140156154 240724098 799108829 1598217658 2397326487 3558409021 4794652974 6111717377 7116818042 7191979461 10675227063 12223434754 13493923049 14383958922 18335152131 21350454126 26987846098 32025681189 36670304262 40481769147 55005456393 64051362378 80963538294 110010912786 121445307441 242890614882 6166722833393 12333445666786 18500168500179 37000337000358 55500505500537 111001011001074