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2138100071 is a prime number
BaseRepresentation
bin111111101110000…
…1101000101100111
312112000012201220112
41333130031011213
513334323200241
6552054523235
7103661356622
oct17734150547
95460181815
102138100071
119a79a1258
124b806651b
13280c6a993
14163d66db9
15c7a911eb
hex7f70d167

2138100071 has 2 divisors, whose sum is σ = 2138100072. Its totient is φ = 2138100070.

The previous prime is 2138100067. The next prime is 2138100089. The reversal of 2138100071 is 1700018312.

It is a happy number.

It is a weak prime.

It is a cyclic number.

It is not a de Polignac number, because 2138100071 - 22 = 2138100067 is a prime.

It is a super-2 number, since 2×21381000712 = 9142943827220410082, which contains 22 as substring.

It is a Sophie Germain prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (2138100091) 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, 1069050035 + 1069050036.

It is an arithmetic number, because the mean of its divisors is an integer number (1069050036).

Almost surely, 22138100071 is an apocalyptic number.

2138100071 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138100071 is an equidigital number, since it uses as much as digits as its factorization.

2138100071 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 336, while the sum is 23.

The square root of 2138100071 is about 46239.5941915584. The cubic root of 2138100071 is about 1288.2772651217.

Adding to 2138100071 its reverse (1700018312), we get a palindrome (3838118383).

The spelling of 2138100071 in words is "two billion, one hundred thirty-eight million, one hundred thousand, seventy-one".