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2135522105441 is a prime number
BaseRepresentation
bin11111000100110111000…
…010010101100001100001
321120011011012121010011122
4133010313002111201201
5234442022124333231
64313013442022025
7310200141252134
oct37046702254141
97504135533148
102135522105441
1175374061251a
122a5a66047915
131264c04bc3ca
14755074c821b
153a83aa2a77b
hex1f137095861

2135522105441 has 2 divisors, whose sum is σ = 2135522105442. Its totient is φ = 2135522105440.

The previous prime is 2135522105413. The next prime is 2135522105459. The reversal of 2135522105441 is 1445012255312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 2087952750625 + 47569354816 = 1444975^2 + 218104^2 .

It is a cyclic number.

It is not a de Polignac number, because 2135522105441 - 230 = 2134448363617 is a prime.

It is not a weakly prime, because it can be changed into another prime (2135522105641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1067761052720 + 1067761052721.

It is an arithmetic number, because the mean of its divisors is an integer number (1067761052721).

Almost surely, 22135522105441 is an apocalyptic number.

It is an amenable number.

2135522105441 is a deficient number, since it is larger than the sum of its proper divisors (1).

2135522105441 is an equidigital number, since it uses as much as digits as its factorization.

2135522105441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 48000, while the sum is 35.

The spelling of 2135522105441 in words is "two trillion, one hundred thirty-five billion, five hundred twenty-two million, one hundred five thousand, four hundred forty-one".