1101820830 has 128 divisors (see below), whose sum is σ = 3215531520. Its totient is φ = 238141440.

The previous prime is 1101820823. The next prime is 1101820843. The reversal of 1101820830 is 380281011.

1101820830 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 1101820830.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 101422 + ... + 111758.

It is an arithmetic number, because the mean of its divisors is an integer number (25121340).

Almost surely, 2^1101820830 is an apocalyptic number.

1101820830 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101820830, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1607765760).

1101820830 is an abundant number, since it is smaller than the sum of its proper divisors (2113710690).

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

1101820830 is a wasteful number, since it uses less digits than its factorization.

1101820830 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10394.

The product of its (nonzero) digits is 384, while the sum is 24.

The square root of 1101820830 is about 33193.6865985085. The cubic root of 1101820830 is about 1032.8493792294.

The spelling of 1101820830 in words is "one billion, one hundred one million, eight hundred twenty thousand, eight hundred thirty".