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2138505301 is a prime number
BaseRepresentation
bin111111101110111…
…0000000001010101
312112000222022210001
41333131300001111
513334424132201
6552111331301
7103664665222
oct17735600125
95460868701
102138505301
119a8148759
124b8220b31
1328108026a
14164030949
15c7b21301
hex7f770055

2138505301 has 2 divisors, whose sum is σ = 2138505302. Its totient is φ = 2138505300.

The previous prime is 2138505287. The next prime is 2138505323. The reversal of 2138505301 is 1035058312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 1548501201 + 590004100 = 39351^2 + 24290^2 .

It is a cyclic number.

It is not a de Polignac number, because 2138505301 - 221 = 2136408149 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 2138505301.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2138505001) 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, 1069252650 + 1069252651.

It is an arithmetic number, because the mean of its divisors is an integer number (1069252651).

Almost surely, 22138505301 is an apocalyptic number.

It is an amenable number.

2138505301 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138505301 is an equidigital number, since it uses as much as digits as its factorization.

2138505301 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 2138505301 is about 46243.9758346966. The cubic root of 2138505301 is about 1288.3586482190.

The spelling of 2138505301 in words is "two billion, one hundred thirty-eight million, five hundred five thousand, three hundred one".