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210114013 is a prime number
BaseRepresentation
bin11001000011000…
…01010111011101
3112122100220020111
430201201113131
5412242122023
632503250021
75130640204
oct1441412735
9478326214
10210114013
11a867084a
125a449911
13346b8a25
141dc9623b
15136a600d
hexc8615dd

210114013 has 2 divisors, whose sum is σ = 210114014. Its totient is φ = 210114012.

The previous prime is 210113987. The next prime is 210114049. The reversal of 210114013 is 310411012.

210114013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 188183524 + 21930489 = 13718^2 + 4683^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-210114013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 210113984 and 210114002.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (210114413) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105057006 + 105057007.

It is an arithmetic number, because the mean of its divisors is an integer number (105057007).

Almost surely, 2210114013 is an apocalyptic number.

It is an amenable number.

210114013 is a deficient number, since it is larger than the sum of its proper divisors (1).

210114013 is an equidigital number, since it uses as much as digits as its factorization.

210114013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 24, while the sum is 13.

The square root of 210114013 is about 14495.3100346284. The cubic root of 210114013 is about 594.4997447633.

Adding to 210114013 its reverse (310411012), we get a palindrome (520525025).

The spelling of 210114013 in words is "two hundred ten million, one hundred fourteen thousand, thirteen".