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1110111010112 = 26137753172097
BaseRepresentation
bin10000001001110111110…
…001011011110101000000
310221010101112201022002202
4100021313301123311000
5121142001404310422
62205551123332332
7143126404616066
oct20116761336500
93833345638082
101110111010112
113988827a75a5
1215b191b210a8
13808b57927b0
143ba30286036
151dd2348ab92
hex10277c5bd40

1110111010112 has 56 divisors (see below), whose sum is σ = 2372648351976. Its totient is φ = 512289865728.

The previous prime is 1110111010109. The next prime is 1110111010123. The reversal of 1110111010112 is 2110101110111.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 208644314176 + 901466695936 = 456776^2 + 949456^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1110111010093 and 1110111010102.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6364448 + ... + 6536544.

It is an arithmetic number, because the mean of its divisors is an integer number (42368720571).

Almost surely, 21110111010112 is an apocalyptic number.

It is an amenable number.

1110111010112 is an abundant number, since it is smaller than the sum of its proper divisors (1262537341864).

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

1110111010112 is a wasteful number, since it uses less digits than its factorization.

1110111010112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179875 (or 179865 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 11.

Adding to 1110111010112 its reverse (2110101110111), we get a palindrome (3220212120223).

Subtracting 1110111010112 from its reverse (2110101110111), we obtain a palindrome (999990099999).

The spelling of 1110111010112 in words is "one trillion, one hundred ten billion, one hundred eleven million, ten thousand, one hundred twelve".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 832 7753 15506 31012 62024 100789 124048 172097 201578 248096 344194 403156 496192 688388 806312 1376776 1612624 2237261 2753552 3225248 4474522 5507104 6450496 8949044 11014208 17898088 35796176 71592352 143184704 1334268041 2668536082 5337072164 10674144328 17345484533 21348288656 34690969066 42696577312 69381938132 85393154624 138763876264 277527752528 555055505056 1110111010112