833130102042 has 128 divisors (see below), whose sum is σ = 2193521541120. Its totient is φ = 229369138560.

The previous prime is 833130101981. The next prime is 833130102043. The reversal of 833130102042 is 240201031338.

833130102042 is a `hidden beast` number, since 8 + 331 + 301 + 0 + 20 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 833130101997 and 833130102015.

It is not an unprimeable number, because it can be changed into a prime (833130102043) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2577723 + ... + 2882865.

It is an arithmetic number, because the mean of its divisors is an integer number (17136887040).

Almost surely, 2^833130102042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 833130102042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1096760770560).

833130102042 is an abundant number, since it is smaller than the sum of its proper divisors (1360391439078).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

833130102042 is a wasteful number, since it uses less digits than its factorization.

833130102042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305425 (or 305419 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The spelling of 833130102042 in words is "eight hundred thirty-three billion, one hundred thirty million, one hundred two thousand, forty-two".