22100141304 has 256 divisors, whose sum is σ = 67599360000. Its totient is φ = 6659573760.

The previous prime is 22100141303. The next prime is 22100141311. The reversal of 22100141304 is 40314100122.

22100141304 is a `hidden beast` number, since 221 + 0 + 0 + 141 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22100141303) 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, 16960317 + ... + 16961619.

It is an arithmetic number, because the mean of its divisors is an integer number (264060000).

Almost surely, 2^22100141304 is an apocalyptic number.

22100141304 is a gapful number since it is divisible by the number (24) 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 22100141304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33799680000).

22100141304 is an abundant number, since it is smaller than the sum of its proper divisors (45499218696).

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

22100141304 is a wasteful number, since it uses less digits than its factorization.

22100141304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515 (or 1505 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 22100141304 its reverse (40314100122), we get a palindrome (62414241426).

The spelling of 22100141304 in words is "twenty-two billion, one hundred million, one hundred forty-one thousand, three hundred four".