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114324410213 = 1323243338393
BaseRepresentation
bin110101001111001000…
…1000000111101100101
3101221002110112202222022
41222132101000331211
53333114022111323
6124304144512525
711155031311256
oct1523621007545
9357073482868
10114324410213
1144537170552
121a1a701b745
13aa1c3b5010
145767662b2d
152e91a9e4c8
hex1a9e440f65

114324410213 has 24 divisors (see below), whose sum is σ = 129004915032. Its totient is φ = 100706208768.

The previous prime is 114324410197. The next prime is 114324410279. The reversal of 114324410213 is 312014423411.

It can be written as a sum of positive squares in 4 ways, for example, as 1655431969 + 112668978244 = 40687^2 + 335662^2 .

It is not a de Polignac number, because 114324410213 - 24 = 114324410197 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114324410113) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2958545 + ... + 2996937.

It is an arithmetic number, because the mean of its divisors is an integer number (5375204793).

Almost surely, 2114324410213 is an apocalyptic number.

114324410213 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

114324410213 is a deficient number, since it is larger than the sum of its proper divisors (14680504819).

114324410213 is a wasteful number, since it uses less digits than its factorization.

114324410213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38885 (or 38862 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 114324410213 its reverse (312014423411), we get a palindrome (426338833624).

The spelling of 114324410213 in words is "one hundred fourteen billion, three hundred twenty-four million, four hundred ten thousand, two hundred thirteen".

Divisors: 1 13 23 299 433 529 5629 6877 9959 38393 129467 229057 499109 883039 2977741 11479507 16624169 20309897 216114197 264028661 382355887 4970626531 8794185401 114324410213