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38108141441101 is a prime number
BaseRepresentation
bin10001010101000101111100…
…01110111101000001001101
311222221002202220021120012201
420222202332032331001031
514443330433202103401
6213014345525401501
711012136161446024
oct1052427616750115
9158832686246181
1038108141441101
1111162632403606
124335743569291
1318357754791c4
1495a6300518bb
15461430ab2b01
hex22a8be3bd04d

38108141441101 has 2 divisors, whose sum is σ = 38108141441102. Its totient is φ = 38108141441100.

The previous prime is 38108141441017. The next prime is 38108141441129. The reversal of 38108141441101 is 10114414180183.

38108141441101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29536561910025 + 8571579531076 = 5434755^2 + 2927726^2 .

It is a cyclic number.

It is not a de Polignac number, because 38108141441101 - 233 = 38099551506509 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (38108141441131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 19054070720550 + 19054070720551.

It is an arithmetic number, because the mean of its divisors is an integer number (19054070720551).

Almost surely, 238108141441101 is an apocalyptic number.

It is an amenable number.

38108141441101 is a deficient number, since it is larger than the sum of its proper divisors (1).

38108141441101 is an equidigital number, since it uses as much as digits as its factorization.

38108141441101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12288, while the sum is 37.

The spelling of 38108141441101 in words is "thirty-eight trillion, one hundred eight billion, one hundred forty-one million, four hundred forty-one thousand, one hundred one".