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105442031123 = 111317202921377
BaseRepresentation
bin110001000110011010…
…1011011011000010011
3101002011102210011111222
41202030311123120103
53211421124443443
6120234524355255
710421644322312
oct1421465333023
9332142704458
10105442031123
1140799306690
12185283a5b2b
139c35107ac0
145163b08279
152b21da8468
hex188cd5b613

105442031123 has 32 divisors (see below), whose sum is σ = 131233556160. Its totient is φ = 83233013760.

The previous prime is 105442031117. The next prime is 105442031141. The reversal of 105442031123 is 321130244501.

It is a happy number.

It is not a de Polignac number, because 105442031123 - 28 = 105442030867 is a prime.

It is a super-2 number, since 2×1054420311232 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 105442031092 and 105442031101.

It is not an unprimeable number, because it can be changed into a prime (105442031173) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4921811 + ... + 4943187.

It is an arithmetic number, because the mean of its divisors is an integer number (4101048630).

Almost surely, 2105442031123 is an apocalyptic number.

105442031123 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

105442031123 is a deficient number, since it is larger than the sum of its proper divisors (25791525037).

105442031123 is a wasteful number, since it uses less digits than its factorization.

105442031123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23447.

The product of its (nonzero) digits is 2880, while the sum is 26.

Adding to 105442031123 its reverse (321130244501), we get a palindrome (426572275624).

The spelling of 105442031123 in words is "one hundred five billion, four hundred forty-two million, thirty-one thousand, one hundred twenty-three".

Divisors: 1 11 13 17 143 187 221 2029 2431 21377 22319 26377 34493 235147 277901 290147 363409 379423 448409 3056911 3997499 4724317 4932499 43373933 51967487 477113263 563861129 737356861 6202472419 8110925471 9585639193 105442031123