Search a number
-
+
10542542029 is a prime number
BaseRepresentation
bin10011101000110001…
…00110110011001101
31000012201122121212121
421310120212303031
5133042342321104
64502043132541
7522153062065
oct116430466315
930181577777
1010542542029
11451aa98958
122062814151
13cc0219166
147202303a5
1541a82b254
hex274626ccd

10542542029 has 2 divisors, whose sum is σ = 10542542030. Its totient is φ = 10542542028.

The previous prime is 10542541973. The next prime is 10542542033. The reversal of 10542542029 is 92024524501.

It is a happy number.

10542542029 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., 10306919529 + 235622500 = 101523^2 + 15350^2 .

It is a cyclic number.

It is not a de Polignac number, because 10542542029 - 215 = 10542509261 is a prime.

It is a super-2 number, since 2×105425420292 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10542541985 and 10542542003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10542542069) 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, 5271271014 + 5271271015.

It is an arithmetic number, because the mean of its divisors is an integer number (5271271015).

Almost surely, 210542542029 is an apocalyptic number.

It is an amenable number.

10542542029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10542542029 is an equidigital number, since it uses as much as digits as its factorization.

10542542029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 28800, while the sum is 34.

The spelling of 10542542029 in words is "ten billion, five hundred forty-two million, five hundred forty-two thousand, twenty-nine".