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110061105011 = 111310116745631
BaseRepresentation
bin110011010000000100…
…1110010111101110011
3101112002100101102200122
41212200021302331303
53300401120330021
6122321131240455
710644262646114
oct1464011627563
9345070342618
10110061105011
1142749696220
12193b72a912b
13a4c0072b10
14548136c20b
152ce2667bab
hex19a0272f73

110061105011 has 32 divisors (see below), whose sum is σ = 131367591936. Its totient is φ = 90894960000.

The previous prime is 110061105001. The next prime is 110061105013. The reversal of 110061105011 is 110501160011.

It is not a de Polignac number, because 110061105011 - 222 = 110056910707 is a prime.

It is a super-2 number, since 2×1100611050112 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (110061105013) 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, 2389166 + ... + 2434796.

It is an arithmetic number, because the mean of its divisors is an integer number (4105237248).

Almost surely, 2110061105011 is an apocalyptic number.

110061105011 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

110061105011 is a deficient number, since it is larger than the sum of its proper divisors (21306486925).

110061105011 is a wasteful number, since it uses less digits than its factorization.

110061105011 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45923.

The product of its (nonzero) digits is 30, while the sum is 17.

Adding to 110061105011 its reverse (110501160011), we get a palindrome (220562265022).

The spelling of 110061105011 in words is "one hundred ten billion, sixty-one million, one hundred five thousand, eleven".

Divisors: 1 11 13 101 143 167 1111 1313 1837 2171 14443 16867 23881 45631 185537 219271 501941 593203 2411981 4608731 6525233 7620377 50696041 59913503 83824147 99064901 659048533 769658077 1089713911 8466238847 10005555001 110061105011