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164136101 is a prime number
BaseRepresentation
bin10011100100010…
…00010010100101
3102102211222101212
421302020102211
5314004323401
624142001205
74032063623
oct1162102245
9372758355
10164136101
1184717978
1246b76205
132800b26c
1417b28513
15e622dbb
hex9c884a5

164136101 has 2 divisors, whose sum is σ = 164136102. Its totient is φ = 164136100.

The previous prime is 164136097. The next prime is 164136149. The reversal of 164136101 is 101631461.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 143976001 + 20160100 = 11999^2 + 4490^2 .

It is an emirp because it is prime and its reverse (101631461) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 164136101 - 22 = 164136097 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (164136701) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82068050 + 82068051.

It is an arithmetic number, because the mean of its divisors is an integer number (82068051).

Almost surely, 2164136101 is an apocalyptic number.

It is an amenable number.

164136101 is a deficient number, since it is larger than the sum of its proper divisors (1).

164136101 is an equidigital number, since it uses as much as digits as its factorization.

164136101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 432, while the sum is 23.

The square root of 164136101 is about 12811.5612241444. The cubic root of 164136101 is about 547.5217436094.

Adding to 164136101 its reverse (101631461), we get a palindrome (265767562).

The spelling of 164136101 in words is "one hundred sixty-four million, one hundred thirty-six thousand, one hundred one".