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114032313 = 3379193277
BaseRepresentation
bin1101100101111…
…11111010111001
321221120102221000
412302333322321
5213143013223
615152035213
72553154503
oct662777271
9257512830
10114032313
115940618a
1232232b09
131a817855
1411204d73
15a027543
hex6cbfeb9

114032313 has 32 divisors (see below), whose sum is σ = 172582400. Its totient is φ = 74400768.

The previous prime is 114032299. The next prime is 114032341. The reversal of 114032313 is 313230411.

It is not a de Polignac number, because 114032313 - 26 = 114032249 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114032213) 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 31 ways as a sum of consecutive naturals, for example, 411531 + ... + 411807.

It is an arithmetic number, because the mean of its divisors is an integer number (5393200).

Almost surely, 2114032313 is an apocalyptic number.

It is an amenable number.

114032313 is a deficient number, since it is larger than the sum of its proper divisors (58550087).

114032313 is a wasteful number, since it uses less digits than its factorization.

114032313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 114032313 is about 10678.5913396852. The cubic root of 114032313 is about 484.9265669812.

Adding to 114032313 its reverse (313230411), we get a palindrome (427262724).

The spelling of 114032313 in words is "one hundred fourteen million, thirty-two thousand, three hundred thirteen".

Divisors: 1 3 9 27 79 193 237 277 579 711 831 1737 2133 2493 5211 7479 15247 21883 45741 53461 65649 137223 160383 196947 411669 481149 590841 1443447 4223419 12670257 38010771 114032313