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4164386101 is a prime number
BaseRepresentation
bin1111100000110111…
…0111110100110101
3101202020000201210021
43320031313310311
532012040323401
61525121125141
7205124461231
oct37015676465
911666021707
104164386101
111847761a07
129827897b1
135149b96b5
142b71055c1
151958e72a1
hexf8377d35

4164386101 has 2 divisors, whose sum is σ = 4164386102. Its totient is φ = 4164386100.

The previous prime is 4164386089. The next prime is 4164386129. The reversal of 4164386101 is 1016834614.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2586231025 + 1578155076 = 50855^2 + 39726^2 .

It is a cyclic number.

It is not a de Polignac number, because 4164386101 - 213 = 4164377909 is a prime.

It is a super-2 number, since 2×41643861012 = 34684223196403964402, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (4164386131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 2082193050 + 2082193051.

It is an arithmetic number, because the mean of its divisors is an integer number (2082193051).

Almost surely, 24164386101 is an apocalyptic number.

It is an amenable number.

4164386101 is a deficient number, since it is larger than the sum of its proper divisors (1).

4164386101 is an equidigital number, since it uses as much as digits as its factorization.

4164386101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 13824, while the sum is 34.

The square root of 4164386101 is about 64532.0548332377. The cubic root of 4164386101 is about 1608.8553391716.

The spelling of 4164386101 in words is "four billion, one hundred sixty-four million, three hundred eighty-six thousand, one hundred one".