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1110011111111 = 72315145658801
BaseRepresentation
bin10000001001110001110…
…100010110011011000111
310221010010120201220102202
4100021301310112123013
5121141300321023421
62205533154225115
7143124052524260
oct20116164263307
93833116656382
101110011111111
11398831374a41
1215b16458519b
138089ab85c66
143ba20cbd967
151dd1980610b
hex10271d166c7

1110011111111 has 16 divisors (see below), whose sum is σ = 1332506477568. Its totient is φ = 904044240000.

The previous prime is 1110011111093. The next prime is 1110011111129. The reversal of 1110011111111 is 1111111100111.

It is an interprime number because it is at equal distance from previous prime (1110011111093) and next prime (1110011111129).

It is a cyclic number.

It is not a de Polignac number, because 1110011111111 - 26 = 1110011111047 is a prime.

1110011111111 is a modest number, since divided by 1111111 gives 111001 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1110011111092 and 1110011111101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110011111711) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22805090 + ... + 22853711.

It is an arithmetic number, because the mean of its divisors is an integer number (83281654848).

Almost surely, 21110011111111 is an apocalyptic number.

1110011111111 is a deficient number, since it is larger than the sum of its proper divisors (222495366457).

1110011111111 is a wasteful number, since it uses less digits than its factorization.

1110011111111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45658982.

The product of its (nonzero) digits is 1, while the sum is 11.

Adding to 1110011111111 its reverse (1111111100111), we get a palindrome (2221122211222).

It can be divided in two parts, 11100111 and 11111, that multiplied together give a palindrome (123333333321).

The spelling of 1110011111111 in words is "one trillion, one hundred ten billion, eleven million, one hundred eleven thousand, one hundred eleven".

Divisors: 1 7 23 151 161 1057 3473 24311 45658801 319611607 1050152423 6894478951 7351066961 48261352657 158573015873 1110011111111