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1110106105511 = 134114821140527
BaseRepresentation
bin10000001001110111011…
…110101110011010100111
310221010101012111010020212
4100021313132232122213
5121141444130334021
62205550430250035
7143126315131004
oct20116736563247
93833335433225
101110106105511
1139887aa57707
1215b19035691b
13808b4766270
143ba2d76a8ab
151dd22d1c85b
hex102777ae6a7

1110106105511 has 16 divisors (see below), whose sum is σ = 1224748737408. Its totient is φ = 999645753600.

The previous prime is 1110106105469. The next prime is 1110106105553. The reversal of 1110106105511 is 1155016010111.

It is an interprime number because it is at equal distance from previous prime (1110106105469) and next prime (1110106105553).

It is a de Polignac number, because none of the positive numbers 2k-1110106105511 is a prime.

It is a super-2 number, since 2×11101061055112 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1110106105571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7829330 + ... + 7969856.

It is an arithmetic number, because the mean of its divisors is an integer number (76546796088).

Almost surely, 21110106105511 is an apocalyptic number.

1110106105511 is a deficient number, since it is larger than the sum of its proper divisors (114642631897).

1110106105511 is a wasteful number, since it uses less digits than its factorization.

1110106105511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155402.

The product of its (nonzero) digits is 150, while the sum is 23.

The spelling of 1110106105511 in words is "one trillion, one hundred ten billion, one hundred six million, one hundred five thousand, five hundred eleven".

Divisors: 1 13 41 533 14821 140527 192673 607661 1826851 5761607 7899593 74900891 2082750667 27075758671 85392777347 1110106105511