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10524234101 is a prime number
BaseRepresentation
bin10011100110100101…
…10001000101110101
31000011110012111010012
421303102301011311
5133023200442401
64500150510005
7521541341153
oct116322610565
930143174105
1010524234101
114510723937
122058665305
13cb94a8c74
1471ba263d3
15418e118bb
hex2734b1175

10524234101 has 2 divisors, whose sum is σ = 10524234102. Its totient is φ = 10524234100.

The previous prime is 10524234089. The next prime is 10524234109. The reversal of 10524234101 is 10143242501.

10524234101 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 7895211025 + 2629023076 = 88855^2 + 51274^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10524234101 is a prime.

It is a super-2 number, since 2×105242341012 (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 (10524234109) 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, 5262117050 + 5262117051.

It is an arithmetic number, because the mean of its divisors is an integer number (5262117051).

Almost surely, 210524234101 is an apocalyptic number.

It is an amenable number.

10524234101 is a deficient number, since it is larger than the sum of its proper divisors (1).

10524234101 is an equidigital number, since it uses as much as digits as its factorization.

10524234101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 10524234101 its reverse (10143242501), we get a palindrome (20667476602).

The spelling of 10524234101 in words is "ten billion, five hundred twenty-four million, two hundred thirty-four thousand, one hundred one".