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1110011100111 = 32313722906161
BaseRepresentation
bin10000001001110001110…
…100010011101111001111
310221010010120201100100100
4100021301310103233033
5121141300320200421
62205533154102143
7143124052450224
oct20116164235717
93833116640310
101110011100111
11398831367751
1215b16457a953
138089ab80c54
143ba20cb994b
151dd19802c26
hex10271d13bcf

1110011100111 has 36 divisors (see below), whose sum is σ = 1701011492544. Its totient is φ = 696780921600.

The previous prime is 1110011100089. The next prime is 1110011100119.

1110011100111 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 1110011100111 - 218 = 1110010837967 is a prime.

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

1110011100111 is a strobogrammatic number because it is the same when read upside-down.

1110011100111 is a modest number, since divided by 11100111 gives 111 as remainder.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 1110011100093 and 1110011100102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110011100119) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1071130 + ... + 1835031.

Almost surely, 21110011100111 is an apocalyptic number.

1110011100111 is a deficient number, since it is larger than the sum of its proper divisors (591000392433).

1110011100111 is a wasteful number, since it uses less digits than its factorization.

1110011100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2906272 (or 2906232 counting only the distinct ones).

The product of its (nonzero) digits is 1, while the sum is 9.

The spelling of 1110011100111 in words is "one trillion, one hundred ten billion, eleven million, one hundred thousand, one hundred eleven".

Divisors: 1 3 9 31 37 93 111 279 333 1147 1369 3441 4107 10323 12321 42439 127317 381951 2906161 8718483 26155449 90090991 107527957 270272973 322583871 810818919 967751613 3333366667 3978534409 10000100001 11935603227 30000300003 35806809681 123334566679 370003700037 1110011100111