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10741138081 is a prime number
BaseRepresentation
bin10100000000011100…
…01100001010100001
31000201120100100102221
422000032030022201
5133444212404311
64533455511041
7530114111242
oct120016141241
930646310387
1010741138081
114612102023
1220b9228481
13102240140b
1473c768cc9
1542cea9671
hex28038c2a1

10741138081 has 2 divisors, whose sum is σ = 10741138082. Its totient is φ = 10741138080.

The previous prime is 10741138061. The next prime is 10741138123. The reversal of 10741138081 is 18083114701.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8627437456 + 2113700625 = 92884^2 + 45975^2 .

It is a cyclic number.

It is not a de Polignac number, because 10741138081 - 25 = 10741138049 is a prime.

It is a super-2 number, since 2×107411380812 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10741138061) 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, 5370569040 + 5370569041.

It is an arithmetic number, because the mean of its divisors is an integer number (5370569041).

Almost surely, 210741138081 is an apocalyptic number.

It is an amenable number.

10741138081 is a deficient number, since it is larger than the sum of its proper divisors (1).

10741138081 is an equidigital number, since it uses as much as digits as its factorization.

10741138081 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 34.

The spelling of 10741138081 in words is "ten billion, seven hundred forty-one million, one hundred thirty-eight thousand, eighty-one".