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10540541041 is a prime number
BaseRepresentation
bin10011101000100001…
…11110010001110001
31000012120212222000221
421310100332101301
5133041334303131
64501532213041
7522130056232
oct116420762161
930176788027
1010540541041
114519951548
12206200a181
13cbc998444
1471dc6d089
1541a583411
hex27443e471

10540541041 has 2 divisors, whose sum is σ = 10540541042. Its totient is φ = 10540541040.

The previous prime is 10540541017. The next prime is 10540541051. The reversal of 10540541041 is 14014504501.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8299938816 + 2240602225 = 91104^2 + 47335^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10540541041 is a prime.

It is a super-2 number, since 2×105405410412 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10540540997 and 10540541015.

It is not a weakly prime, because it can be changed into another prime (10540541051) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5270270520 + 5270270521.

It is an arithmetic number, because the mean of its divisors is an integer number (5270270521).

Almost surely, 210540541041 is an apocalyptic number.

It is an amenable number.

10540541041 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540541041 is an equidigital number, since it uses as much as digits as its factorization.

10540541041 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1600, while the sum is 25.

The spelling of 10540541041 in words is "ten billion, five hundred forty million, five hundred forty-one thousand, forty-one".