10183829201 has 12 divisors (see below), whose sum is σ = 12757764852. Its totient is φ = 8057534688.

The previous prime is 10183829119. The next prime is 10183829221. The reversal of 10183829201 is 10292838101.

It can be written as a sum of positive squares in 2 ways, for example, as 5315139025 + 4868690176 = 72905^2 + 69776^2 .

It is not a de Polignac number, because 10183829201 - 2¹⁰ = 10183828177 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10183829221) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7992950 + ... + 7994223.

It is an arithmetic number, because the mean of its divisors is an integer number (1063147071).

Almost surely, 2^10183829201 is an apocalyptic number.

It is an amenable number.

10183829201 is a deficient number, since it is larger than the sum of its proper divisors (2573935651).

10183829201 is a wasteful number, since it uses less digits than its factorization.

10183829201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15987200 (or 15987193 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 35.

The spelling of 10183829201 in words is "ten billion, one hundred eighty-three million, eight hundred twenty-nine thousand, two hundred one".