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114512440113 = 3217244026313
BaseRepresentation
bin110101010100101111…
…0010010101100110001
3101221120120100200111200
41222221132102230301
53334010141040423
6124334543001413
711162503452351
oct1525136225461
9357516320450
10114512440113
1144623318165
121a239b99269
13aa4c33ab06
14578460ab61
152ea3341d43
hex1aa9792b31

114512440113 has 18 divisors (see below), whose sum is σ = 175709019174. Its totient is φ = 71850941184.

The previous prime is 114512440069. The next prime is 114512440151. The reversal of 114512440113 is 311044215411.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 41905365264 + 72607074849 = 204708^2 + 269457^2 .

It is not a de Polignac number, because 114512440113 - 210 = 114512439089 is a prime.

It is a super-2 number, since 2×1145124401132 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114512440313) 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 17 ways as a sum of consecutive naturals, for example, 22010556 + ... + 22015757.

Almost surely, 2114512440113 is an apocalyptic number.

It is an amenable number.

114512440113 is a deficient number, since it is larger than the sum of its proper divisors (61196579061).

114512440113 is a wasteful number, since it uses less digits than its factorization.

114512440113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44026353 (or 44026333 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

Adding to 114512440113 its reverse (311044215411), we get a palindrome (425556655524).

The spelling of 114512440113 in words is "one hundred fourteen billion, five hundred twelve million, four hundred forty thousand, one hundred thirteen".

Divisors: 1 3 9 17 51 153 289 867 2601 44026313 132078939 396236817 748447321 2245341963 6736025889 12723604457 38170813371 114512440113