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163200013 is a prime number
BaseRepresentation
bin10011011101000…
…11110000001101
3102101002102022221
421232203300031
5313234400023
624105535341
74021114534
oct1156436015
9371072287
10163200013
1184138649
12467a4551
1327a71172
141796331b
15e4da85d
hex9ba3c0d

163200013 has 2 divisors, whose sum is σ = 163200014. Its totient is φ = 163200012.

The previous prime is 163199989. The next prime is 163200029. The reversal of 163200013 is 310002361.

163200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an a-pointer prime, because the next prime (163200029) can be obtained adding 163200013 to its sum of digits (16).

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129117769 + 34082244 = 11363^2 + 5838^2 .

It is a cyclic number.

It is not a de Polignac number, because 163200013 - 221 = 161102861 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 163200013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (163200043) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 81600006 + 81600007.

It is an arithmetic number, because the mean of its divisors is an integer number (81600007).

Almost surely, 2163200013 is an apocalyptic number.

It is an amenable number.

163200013 is a deficient number, since it is larger than the sum of its proper divisors (1).

163200013 is an equidigital number, since it uses as much as digits as its factorization.

163200013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 108, while the sum is 16.

The square root of 163200013 is about 12774.9760469443. The cubic root of 163200013 is about 546.4788977292.

Adding to 163200013 its reverse (310002361), we get a palindrome (473202374).

The spelling of 163200013 in words is "one hundred sixty-three million, two hundred thousand, thirteen".