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114511311 = 3220276277
BaseRepresentation
bin1101101001101…
…00110111001111
321222110202222200
412310310313033
5213303330221
615210212543
72560221135
oct664646717
9258422880
10114511311
1159703052
1232424153
131a954895
14112cb755
15a0be426
hex6d34dcf

114511311 has 12 divisors (see below), whose sum is σ = 165513192. Its totient is φ = 76291056.

The previous prime is 114511297. The next prime is 114511349. The reversal of 114511311 is 113115411.

It is not a de Polignac number, because 114511311 - 27 = 114511183 is a prime.

It is a super-3 number, since 3×1145113113 (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114511351) 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 11 ways as a sum of consecutive naturals, for example, 15105 + ... + 21381.

It is an arithmetic number, because the mean of its divisors is an integer number (13792766).

Almost surely, 2114511311 is an apocalyptic number.

114511311 is a deficient number, since it is larger than the sum of its proper divisors (51001881).

114511311 is a wasteful number, since it uses less digits than its factorization.

114511311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8310 (or 8307 counting only the distinct ones).

The product of its digits is 60, while the sum is 18.

The square root of 114511311 is about 10700.9957947847. The cubic root of 114511311 is about 485.6046039744.

Adding to 114511311 its reverse (113115411), we get a palindrome (227626722).

The spelling of 114511311 in words is "one hundred fourteen million, five hundred eleven thousand, three hundred eleven".

Divisors: 1 3 9 2027 6081 6277 18243 18831 56493 12723479 38170437 114511311