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2138774801 is a prime number
BaseRepresentation
bin111111101111011…
…0001110100010001
312112001111000110112
41333132301310101
513340011243201
6552121211105
7104000200022
oct17736616421
95461430415
102138774801
119a8312189
124b8330a95
13281145b27
141640a0c49
15c7b760bb
hex7f7b1d11

2138774801 has 2 divisors, whose sum is σ = 2138774802. Its totient is φ = 2138774800.

The previous prime is 2138774797. The next prime is 2138774857. The reversal of 2138774801 is 1084778312.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 2118208576 + 20566225 = 46024^2 + 4535^2 .

It is a cyclic number.

It is not a de Polignac number, because 2138774801 - 22 = 2138774797 is a prime.

It is a super-3 number, since 3×21387748013 (a number of 29 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (2138774401) 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, 1069387400 + 1069387401.

It is an arithmetic number, because the mean of its divisors is an integer number (1069387401).

Almost surely, 22138774801 is an apocalyptic number.

It is an amenable number.

2138774801 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138774801 is an equidigital number, since it uses as much as digits as its factorization.

2138774801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 75264, while the sum is 41.

The square root of 2138774801 is about 46246.8896359528. The cubic root of 2138774801 is about 1288.4127667149.

The spelling of 2138774801 in words is "two billion, one hundred thirty-eight million, seven hundred seventy-four thousand, eight hundred one".