10034229241 has 9 divisors (see below), whose sum is σ = 10138162671. Its totient is φ = 9931353624.

The previous prime is 10034229239. The next prime is 10034229263. The reversal of 10034229241 is 14292243001.

The square root of 10034229241 is 100171.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 6993809641 + 3040419600 = 83629^2 + 55140^2 .

It is not a de Polignac number, because 10034229241 - 2¹ = 10034229239 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10034229211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 10918180 + ... + 10919098.

It is an arithmetic number, because the mean of its divisors is an integer number (1126462519).

Almost surely, 2^10034229241 is an apocalyptic number.

10034229241 is the 100171-st square number.

10034229241 is the 50086-th centered octagonal number.

It is an amenable number.

10034229241 is a deficient number, since it is larger than the sum of its proper divisors (103933430).

10034229241 is an frugal number, since it uses more digits than its factorization.

10034229241 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2056 (or 1028 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 28.

The spelling of 10034229241 in words is "ten billion, thirty-four million, two hundred twenty-nine thousand, two hundred forty-one".