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400213316161 is a prime number
BaseRepresentation
bin1011101001011101001…
…00101001001001000001
31102021000112221221202101
411310232210221021001
523024114102104121
6503504440150401
740625442026011
oct5645644511101
91367015857671
10400213316161
11144802a8aa4a
1265692768401
132b9808a8719
141552864dc41
15a6254d3491
hex5d2e929241

400213316161 has 2 divisors, whose sum is σ = 400213316162. Its totient is φ = 400213316160.

The previous prime is 400213316147. The next prime is 400213316171. The reversal of 400213316161 is 161613312004.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 309269454400 + 90943861761 = 556120^2 + 301569^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-400213316161 is a prime.

It is not a weakly prime, because it can be changed into another prime (400213316131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 200106658080 + 200106658081.

It is an arithmetic number, because the mean of its divisors is an integer number (200106658081).

Almost surely, 2400213316161 is an apocalyptic number.

It is an amenable number.

400213316161 is a deficient number, since it is larger than the sum of its proper divisors (1).

400213316161 is an equidigital number, since it uses as much as digits as its factorization.

400213316161 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 400213316161 its reverse (161613312004), we get a palindrome (561826628165).

The spelling of 400213316161 in words is "four hundred billion, two hundred thirteen million, three hundred sixteen thousand, one hundred sixty-one".