Search a number
-
+
107179201 is a prime number
BaseRepresentation
bin1100110001101…
…10110011000001
321110200021020001
412120312303001
5204414213301
614345120001
72441002543
oct630666301
9243607201
10107179201
1155555358
122ba89001
131928845c
141033d693
159621c01
hex6636cc1

107179201 has 2 divisors, whose sum is σ = 107179202. Its totient is φ = 107179200.

The previous prime is 107179199. The next prime is 107179213. The reversal of 107179201 is 102971701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 55353600 + 51825601 = 7440^2 + 7199^2 .

It is a cyclic number.

It is not a de Polignac number, because 107179201 - 21 = 107179199 is a prime.

It is a super-2 number, since 2×1071792012 = 22974762253996802, which contains 22 as substring.

Together with 107179199, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 107179201.

It is not a weakly prime, because it can be changed into another prime (107179001) 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 as a sum of consecutive naturals, namely, 53589600 + 53589601.

It is an arithmetic number, because the mean of its divisors is an integer number (53589601).

Almost surely, 2107179201 is an apocalyptic number.

It is an amenable number.

107179201 is a deficient number, since it is larger than the sum of its proper divisors (1).

107179201 is an equidigital number, since it uses as much as digits as its factorization.

107179201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 882, while the sum is 28.

The square root of 107179201 is about 10352.7388163713. The cubic root of 107179201 is about 475.0108230221.

The spelling of 107179201 in words is "one hundred seven million, one hundred seventy-nine thousand, two hundred one".