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10540759213 is a prime number
BaseRepresentation
bin10011101000100011…
…10011100010101101
31000012121022001022101
421310101303202231
5133041413243323
64501541015101
7522131655265
oct116421634255
930177261271
1010540759213
114519a90456
1220620b4491
13cbca4383a
1471dcc87a5
1541a5c7dad
hex2744738ad

10540759213 has 2 divisors, whose sum is σ = 10540759214. Its totient is φ = 10540759212.

The previous prime is 10540759189. The next prime is 10540759261. The reversal of 10540759213 is 31295704501.

10540759213 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6902618724 + 3638140489 = 83082^2 + 60317^2 .

It is an emirp because it is prime and its reverse (31295704501) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10540759213 - 213 = 10540751021 is a prime.

It is a super-2 number, since 2×105407592132 (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 (10540739213) 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, 5270379606 + 5270379607.

It is an arithmetic number, because the mean of its divisors is an integer number (5270379607).

Almost surely, 210540759213 is an apocalyptic number.

It is an amenable number.

10540759213 is a deficient number, since it is larger than the sum of its proper divisors (1).

10540759213 is an equidigital number, since it uses as much as digits as its factorization.

10540759213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 37800, while the sum is 37.

The spelling of 10540759213 in words is "ten billion, five hundred forty million, seven hundred fifty-nine thousand, two hundred thirteen".