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10110120111 = 337134114823
BaseRepresentation
bin10010110101001110…
…00011000010101111
3222002120222022112000
421122213003002233
5131201142320421
64351114543343
7505352413560
oct113247030257
928076868460
1010110120111
114318998973
121b61a37b53
13c517653c0
146bca2a167
153e28b1226
hex25a9c30af

10110120111 has 32 divisors (see below), whose sum is σ = 18434411520. Its totient is φ = 5332809312.

The previous prime is 10110120107. The next prime is 10110120121. The reversal of 10110120111 is 11102101101.

10110120111 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10110120111 - 22 = 10110120107 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a junction number, because it is equal to n+sod(n) for n = 10110120093 and 10110120102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10110120101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2054955 + ... + 2059868.

It is an arithmetic number, because the mean of its divisors is an integer number (576075360).

Almost surely, 210110120111 is an apocalyptic number.

10110120111 is a deficient number, since it is larger than the sum of its proper divisors (8324291409).

10110120111 is a wasteful number, since it uses less digits than its factorization.

10110120111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4114852 (or 4114846 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 10110120111 its reverse (11102101101), we get a palindrome (21212221212).

The spelling of 10110120111 in words is "ten billion, one hundred ten million, one hundred twenty thousand, one hundred eleven".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 819 2457 4114823 12344469 28803761 37033407 53492699 86411283 111100221 160478097 259233849 374448893 481434291 777701547 1123346679 1444302873 3370040037 10110120111