10214829933 has 96 divisors (see below), whose sum is σ = 18892320768. Its totient is φ = 4832755200.

The previous prime is 10214829917. The next prime is 10214829941. The reversal of 10214829933 is 33992841201.

It is not a de Polignac number, because 10214829933 - 2⁴ = 10214829917 is a prime.

It is a super-2 number, since 2×10214829933² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10214829133) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 846166 + ... + 858152.

It is an arithmetic number, because the mean of its divisors is an integer number (196795008).

Almost surely, 2^10214829933 is an apocalyptic number.

It is an amenable number.

10214829933 is a deficient number, since it is larger than the sum of its proper divisors (8677490835).

10214829933 is a wasteful number, since it uses less digits than its factorization.

10214829933 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12063 (or 12056 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The spelling of 10214829933 in words is "ten billion, two hundred fourteen million, eight hundred twenty-nine thousand, nine hundred thirty-three".