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540924101 is a prime number
BaseRepresentation
bin100000001111011…
…101100011000101
31101200211210100222
4200033131203011
52101434032401
6125401514125
716255531124
oct4017354305
91350753328
10540924101
11258379313
121311a2945
13880b3443
1451ba9abb
153274dc1b
hex203dd8c5

540924101 has 2 divisors, whose sum is σ = 540924102. Its totient is φ = 540924100.

The previous prime is 540924077. The next prime is 540924103. The reversal of 540924101 is 101429045.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 516471076 + 24453025 = 22726^2 + 4945^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-540924101 is a prime.

Together with 540924103, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (540924103) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 270462050 + 270462051.

It is an arithmetic number, because the mean of its divisors is an integer number (270462051).

Almost surely, 2540924101 is an apocalyptic number.

It is an amenable number.

540924101 is a deficient number, since it is larger than the sum of its proper divisors (1).

540924101 is an equidigital number, since it uses as much as digits as its factorization.

540924101 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 540924101 is about 23257.7750655560. The cubic root of 540924101 is about 814.7895380380.

The spelling of 540924101 in words is "five hundred forty million, nine hundred twenty-four thousand, one hundred one".