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1110012100111 = 23717313767967
BaseRepresentation
bin10000001001110001111…
…000000111111000001111
310221010010122121011002101
4100021301320013320033
5121141301044200421
62205533231335531
7143124064113535
oct20116170077017
93833118534071
101110012100111
1139883198aaa2
1215b1649815a7
138089b141175
143ba2109a155
151dd1994e191
hex10271e07e0f

1110012100111 has 32 divisors (see below), whose sum is σ = 1199386165248. Its totient is φ = 1024905530880.

The previous prime is 1110012100079. The next prime is 1110012100133.

1110012100111 is nontrivially palindromic in base 10.

It is a cyclic number.

It is not a de Polignac number, because 1110012100111 - 25 = 1110012100079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110012100411) 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 31 ways as a sum of consecutive naturals, for example, 16297650 + ... + 16365616.

It is an arithmetic number, because the mean of its divisors is an integer number (37480817664).

Almost surely, 21110012100111 is an apocalyptic number.

1110012100111 is a deficient number, since it is larger than the sum of its proper divisors (89374065137).

1110012100111 is a wasteful number, since it uses less digits than its factorization.

1110012100111 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68271.

The product of its (nonzero) digits is 2, while the sum is 10.

The spelling of 1110012100111 in words is "one trillion, one hundred ten billion, twelve million, one hundred thousand, one hundred eleven".

Divisors: 1 23 71 73 137 1633 1679 3151 5183 9727 10001 67967 119209 223721 230023 710071 1563241 4825657 4961591 9311479 16331633 110990111 114116593 214164017 352272961 661115009 679737967 8102278103 15205645207 15633973241 48261395657 1110012100111