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114417117 = 346612137
BaseRepresentation
bin1101101000111…
…01110111011101
321222021222210000
412310131313131
5213242321432
615204204513
72556346413
oct664356735
9258258700
10114417117
1159649301
1232399739
131a920a49
14112a52b3
15a0a157c
hex6d1dddd

114417117 has 20 divisors (see below), whose sum is σ = 171258076. Its totient is φ = 76127040.

The previous prime is 114417091. The next prime is 114417137. The reversal of 114417117 is 711714411.

It can be written as a sum of positive squares in 2 ways, for example, as 42693156 + 71723961 = 6534^2 + 8469^2 .

It is not a de Polignac number, because 114417117 - 26 = 114417053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114417137) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 52473 + ... + 54609.

Almost surely, 2114417117 is an apocalyptic number.

It is an amenable number.

114417117 is a deficient number, since it is larger than the sum of its proper divisors (56840959).

114417117 is an equidigital number, since it uses as much as digits as its factorization.

114417117 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2810 (or 2801 counting only the distinct ones).

The product of its digits is 784, while the sum is 27.

The square root of 114417117 is about 10696.5937101490. The cubic root of 114417117 is about 485.4714189140.

The spelling of 114417117 in words is "one hundred fourteen million, four hundred seventeen thousand, one hundred seventeen".

Divisors: 1 3 9 27 81 661 1983 2137 5949 6411 17847 19233 53541 57699 173097 1412557 4237671 12713013 38139039 114417117