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1110101010018 = 23711131511224053
BaseRepresentation
bin10000001001110111001…
…011010010011001100010
310221010100211220020112220
4100021313023102121202
5121141441324310033
62205550125131510
7143126223616230
oct20116713223142
93833324806486
101110101010018
11398878097360
1215b18a6b9b96
13808b36a0b90
143ba2cc01950
151dd22662bb3
hex102772d2662

1110101010018 has 128 divisors (see below), whose sum is σ = 3000714522624. Its totient is φ = 264395232000.

The previous prime is 1110101009981. The next prime is 1110101010019. The reversal of 1110101010018 is 8100101010111.

It is a junction number, because it is equal to n+sod(n) for n = 1110101009979 and 1110101010006.

It is not an unprimeable number, because it can be changed into a prime (1110101010019) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 294880 + ... + 1518932.

It is an arithmetic number, because the mean of its divisors is an integer number (23443082208).

Almost surely, 21110101010018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1110101010018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1500357261312).

1110101010018 is an abundant number, since it is smaller than the sum of its proper divisors (1890613512606).

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

1110101010018 is a wasteful number, since it uses less digits than its factorization.

1110101010018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1224240.

The product of its (nonzero) digits is 8, while the sum is 15.

Adding to 1110101010018 its reverse (8100101010111), we get a palindrome (9210202020129).

The spelling of 1110101010018 in words is "one trillion, one hundred ten billion, one hundred one million, ten thousand, eighteen".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 151 154 182 231 273 286 302 429 453 462 546 858 906 1001 1057 1661 1963 2002 2114 3003 3171 3322 3926 4983 5889 6006 6342 9966 11627 11778 13741 21593 23254 27482 34881 41223 43186 64779 69762 82446 129558 151151 302302 453453 906906 1224053 2448106 3672159 7344318 8568371 13464583 15912689 17136742 25705113 26929166 31825378 40393749 47738067 51410226 80787498 94252081 95476134 111388823 175039579 184832003 188504162 222777646 282756243 334166469 350079158 369664006 525118737 554496009 565512486 668332938 1050237474 1108992018 1225277053 1293824021 2033152033 2402816039 2450554106 2587648042 3675831159 3881472063 4066304066 4805632078 6099456099 7208448117 7351662318 7762944126 12198912198 14232064231 14416896234 16819712273 26430976429 28464128462 33639424546 42696192693 50459136819 52861952858 79292929287 85392385386 100918273638 158585858574 185016835003 370033670006 555050505009 1110101010018