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413438101 is a prime number
BaseRepresentation
bin11000101001001…
…001000010010101
31001210221211110021
4120221021002111
51321320004401
6105005225141
713150110616
oct3051110225
91053854407
10413438101
111a241418a
12b65621b1
136786803b
143cca1c0d
152646a2a1
hex18a49095

413438101 has 2 divisors, whose sum is σ = 413438102. Its totient is φ = 413438100.

The previous prime is 413438099. The next prime is 413438131. The reversal of 413438101 is 101834314.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 232562500 + 180875601 = 15250^2 + 13449^2 .

It is a cyclic number.

It is not a de Polignac number, because 413438101 - 21 = 413438099 is a prime.

Together with 413438099, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (413438131) 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, 206719050 + 206719051.

It is an arithmetic number, because the mean of its divisors is an integer number (206719051).

Almost surely, 2413438101 is an apocalyptic number.

It is an amenable number.

413438101 is a deficient number, since it is larger than the sum of its proper divisors (1).

413438101 is an equidigital number, since it uses as much as digits as its factorization.

413438101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 413438101 is about 20333.1773463962. The cubic root of 413438101 is about 744.9666522616.

The spelling of 413438101 in words is "four hundred thirteen million, four hundred thirty-eight thousand, one hundred one".