Search a number
-
+
10741138181 is a prime number
BaseRepresentation
bin10100000000011100…
…01100001100000101
31000201120100100120122
422000032030030011
5133444212410211
64533455511325
7530114111444
oct120016141405
930646310518
1010741138181
114612102104
1220b9228545
131022401487
1473c768d5b
1542cea96db
hex28038c305

10741138181 has 2 divisors, whose sum is σ = 10741138182. Its totient is φ = 10741138180.

The previous prime is 10741138153. The next prime is 10741138193. The reversal of 10741138181 is 18183114701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6977929156 + 3763209025 = 83534^2 + 61345^2 .

It is an emirp because it is prime and its reverse (18183114701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10741138181 - 230 = 9667396357 is a prime.

It is a super-2 number, since 2×107411381812 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10741138081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5370569090 + 5370569091.

It is an arithmetic number, because the mean of its divisors is an integer number (5370569091).

Almost surely, 210741138181 is an apocalyptic number.

It is an amenable number.

10741138181 is a deficient number, since it is larger than the sum of its proper divisors (1).

10741138181 is an equidigital number, since it uses as much as digits as its factorization.

10741138181 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5376, while the sum is 35.

The spelling of 10741138181 in words is "ten billion, seven hundred forty-one million, one hundred thirty-eight thousand, one hundred eighty-one".