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114130135017 = 32671086717417
BaseRepresentation
bin110101001001010101…
…1111010011111101001
3101220120220222120111200
41222102223322133221
53332214303310032
6124233004514413
711150152066263
oct1522253723751
9356526876450
10114130135017
1144447538738
121a151b4ba09
13a9bb083692
145749930b33
152e7e9c647c
hex1a92afa7e9

114130135017 has 24 divisors (see below), whose sum is σ = 167340160416. Its totient is φ = 74939933376.

The previous prime is 114130134997. The next prime is 114130135027. The reversal of 114130135017 is 710531031411.

114130135017 is a `hidden beast` number, since 1 + 1 + 4 + 1 + 301 + 350 + 1 + 7 = 666.

It is not a de Polignac number, because 114130135017 - 28 = 114130134761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (114130135027) 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, 6544093 + ... + 6561509.

It is an arithmetic number, because the mean of its divisors is an integer number (6972506684).

Almost surely, 2114130135017 is an apocalyptic number.

It is an amenable number.

114130135017 is a deficient number, since it is larger than the sum of its proper divisors (53210025399).

114130135017 is a wasteful number, since it uses less digits than its factorization.

114130135017 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28357 (or 28354 counting only the distinct ones).

The product of its (nonzero) digits is 1260, while the sum is 27.

Adding to 114130135017 its reverse (710531031411), we get a palindrome (824661166428).

The spelling of 114130135017 in words is "one hundred fourteen billion, one hundred thirty million, one hundred thirty-five thousand, seventeen".

Divisors: 1 3 9 67 201 603 10867 17417 32601 52251 97803 156753 728089 1166939 2184267 3500817 6552801 10502451 189270539 567811617 1703434851 12681126113 38043378339 114130135017