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114410131123 = 4147228126029
BaseRepresentation
bin110101010001101100…
…0000000111010110011
3101221022102211211221211
41222203120000322303
53333302443143443
6124320450100551
711160122032411
oct1524330007263
9357272754854
10114410131123
1144580599982
121a20b87a757
13aa34099352
145774bb82b1
152e9938319d
hex1aa3600eb3

114410131123 has 16 divisors (see below), whose sum is σ = 119751327360. Its totient is φ = 109192665600.

The previous prime is 114410131067. The next prime is 114410131141. The reversal of 114410131123 is 321131014411.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-114410131123 is a prime.

It is a super-2 number, since 2×1144101311232 (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 = 114410131094 and 114410131103.

It is not an unprimeable number, because it can be changed into a prime (114410131193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4382473 + ... + 4408501.

It is an arithmetic number, because the mean of its divisors is an integer number (7484457960).

Almost surely, 2114410131123 is an apocalyptic number.

114410131123 is a deficient number, since it is larger than the sum of its proper divisors (5341196237).

114410131123 is a wasteful number, since it uses less digits than its factorization.

114410131123 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28398.

The product of its (nonzero) digits is 288, while the sum is 22.

Adding to 114410131123 its reverse (321131014411), we get a palindrome (435541145534).

The spelling of 114410131123 in words is "one hundred fourteen billion, four hundred ten million, one hundred thirty-one thousand, one hundred twenty-three".

Divisors: 1 41 47 1927 2281 26029 93521 107207 1067189 1223363 4395487 50157883 59372149 2434258109 2790491003 114410131123