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10538344361 is a prime number
BaseRepresentation
bin10011101000010001…
…00101111110101001
31000012102202100202102
421310020211332221
5133040304004421
64501413143145
7522102310016
oct116410457651
930172670672
1010538344361
114518691106
12206132aab5
13cbc3a962c
1471d85a70d
1541a29c60b
hex274225fa9

10538344361 has 2 divisors, whose sum is σ = 10538344362. Its totient is φ = 10538344360.

The previous prime is 10538344351. The next prime is 10538344409. The reversal of 10538344361 is 16344383501.

10538344361 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., 10169512336 + 368832025 = 100844^2 + 19205^2 .

It is a cyclic number.

It is not a de Polignac number, because 10538344361 - 222 = 10534150057 is a prime.

It is a super-2 number, since 2×105383443612 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (10538344331) 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, 5269172180 + 5269172181.

It is an arithmetic number, because the mean of its divisors is an integer number (5269172181).

Almost surely, 210538344361 is an apocalyptic number.

It is an amenable number.

10538344361 is a deficient number, since it is larger than the sum of its proper divisors (1).

10538344361 is an equidigital number, since it uses as much as digits as its factorization.

10538344361 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 10538344361 in words is "ten billion, five hundred thirty-eight million, three hundred forty-four thousand, three hundred sixty-one".