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138353100901 is a prime number
BaseRepresentation
bin1000000011011001111…
…1001100100001100101
3111020010001202201220021
42000312133030201211
54231321343212101
6143320351035141
712665342645131
oct2006637144145
9436101681807
10138353100901
115374779a504
122299220bab1
131007b6183a2
1469a6a0a3c1
1538eb35b5a1
hex20367cc865

138353100901 has 2 divisors, whose sum is σ = 138353100902. Its totient is φ = 138353100900.

The previous prime is 138353100857. The next prime is 138353100923. The reversal of 138353100901 is 109001353831.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 129474750276 + 8878350625 = 359826^2 + 94225^2 .

It is a cyclic number.

It is not a de Polignac number, because 138353100901 - 229 = 137816229989 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (138353100961) 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, 69176550450 + 69176550451.

It is an arithmetic number, because the mean of its divisors is an integer number (69176550451).

Almost surely, 2138353100901 is an apocalyptic number.

It is an amenable number.

138353100901 is a deficient number, since it is larger than the sum of its proper divisors (1).

138353100901 is an equidigital number, since it uses as much as digits as its factorization.

138353100901 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9720, while the sum is 34.

The spelling of 138353100901 in words is "one hundred thirty-eight billion, three hundred fifty-three million, one hundred thousand, nine hundred one".