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411200924257 is a prime number
BaseRepresentation
bin1011111101111010111…
…11000010101001100001
31110022101022002021111101
411332331133002221201
523214114414034012
6512523022514401
741464641120604
oct5767537025141
91408338067441
10411200924257
111494312245a2
126783a435a01
132ca12084886
1415c8ba1633b
15aa69e25d57
hex5fbd7c2a61

411200924257 has 2 divisors, whose sum is σ = 411200924258. Its totient is φ = 411200924256.

The previous prime is 411200924227. The next prime is 411200924333. The reversal of 411200924257 is 752429002114.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 358715947041 + 52484977216 = 598929^2 + 229096^2 .

It is a cyclic number.

It is not a de Polignac number, because 411200924257 - 27 = 411200924129 is a prime.

It is a super-2 number, since 2×4112009242572 (a number of 24 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (411200924207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 205600462128 + 205600462129.

It is an arithmetic number, because the mean of its divisors is an integer number (205600462129).

Almost surely, 2411200924257 is an apocalyptic number.

It is an amenable number.

411200924257 is a deficient number, since it is larger than the sum of its proper divisors (1).

411200924257 is an equidigital number, since it uses as much as digits as its factorization.

411200924257 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 40320, while the sum is 37.

The spelling of 411200924257 in words is "four hundred eleven billion, two hundred million, nine hundred twenty-four thousand, two hundred fifty-seven".