20111433100 has 144 divisors (see below), whose sum is σ = 48428837856. Its totient is φ = 7188480000.

The previous prime is 20111433071. The next prime is 20111433113. The reversal of 20111433100 is 133411102.

It is a super-2 number, since 2×20111433100² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 17442124 + ... + 17443276.

It is an arithmetic number, because the mean of its divisors is an integer number (336311374).

Almost surely, 2^20111433100 is an apocalyptic number.

20111433100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20111433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24214418928).

20111433100 is an abundant number, since it is smaller than the sum of its proper divisors (28317404756).

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

20111433100 is a wasteful number, since it uses less digits than its factorization.

20111433100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1436 (or 1429 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 20111433100 its reverse (133411102), we get a palindrome (20244844202).

The spelling of 20111433100 in words is "twenty billion, one hundred eleven million, four hundred thirty-three thousand, one hundred".