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114516103 = 1323449853
BaseRepresentation
bin1101101001101…
…10000010000111
321222111000120011
412310312002013
5213304003403
615210251051
72560241122
oct664660207
9258430504
10114516103
1159706709
1232426a87
131a956b10
14112cd3b9
15a0c0a6d
hex6d36087

114516103 has 16 divisors (see below), whose sum is σ = 129124800. Its totient is φ = 100767744.

The previous prime is 114516089. The next prime is 114516107. The reversal of 114516103 is 301615411.

It is a cyclic number.

It is not a de Polignac number, because 114516103 - 25 = 114516071 is a prime.

It is a super-2 number, since 2×1145161032 = 26227875692613218, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114516107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133825 + ... + 134677.

It is an arithmetic number, because the mean of its divisors is an integer number (8070300).

Almost surely, 2114516103 is an apocalyptic number.

114516103 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

114516103 is a deficient number, since it is larger than the sum of its proper divisors (14608697).

114516103 is a wasteful number, since it uses less digits than its factorization.

114516103 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1338.

The product of its (nonzero) digits is 360, while the sum is 22.

The square root of 114516103 is about 10701.2196968383. The cubic root of 114516103 is about 485.6113776423.

The spelling of 114516103 in words is "one hundred fourteen million, five hundred sixteen thousand, one hundred three".

Divisors: 1 13 23 299 449 853 5837 10327 11089 19619 134251 255047 382997 4978961 8808931 114516103