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114005213 = 7217136861
BaseRepresentation
bin1101100101110…
…01010011011101
321221112001202022
412302321103131
5213141131323
615151305525
72553012500
oct662712335
9257461668
10114005213
1159397893
123221b2a5
131a80840a
14111d9137
15a01e4c8
hex6cb94dd

114005213 has 12 divisors (see below), whose sum is σ = 140420412. Its totient is φ = 91969920.

The previous prime is 114005209. The next prime is 114005219. The reversal of 114005213 is 312500411.

It can be written as a sum of positive squares in 2 ways, for example, as 55681444 + 58323769 = 7462^2 + 7637^2 .

It is not a de Polignac number, because 114005213 - 22 = 114005209 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 114005191 and 114005200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114005219) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 67598 + ... + 69263.

It is an arithmetic number, because the mean of its divisors is an integer number (11701701).

Almost surely, 2114005213 is an apocalyptic number.

It is an amenable number.

114005213 is a deficient number, since it is larger than the sum of its proper divisors (26415199).

114005213 is a wasteful number, since it uses less digits than its factorization.

114005213 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 136892 (or 136885 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 17.

The square root of 114005213 is about 10677.3223703324. The cubic root of 114005213 is about 484.8881493585. Note that the first 3 decimals are identical.

Adding to 114005213 its reverse (312500411), we get a palindrome (426505624).

The spelling of 114005213 in words is "one hundred fourteen million, five thousand, two hundred thirteen".

Divisors: 1 7 17 49 119 833 136861 958027 2326637 6706189 16286459 114005213