22314142035100 has 144 divisors (see below), whose sum is σ = 52862847561216. Its totient is φ = 8142615936000.

The previous prime is 22314142035077. The next prime is 22314142035127. The reversal of 22314142035100 is 153024141322.

It is a super-3 number, since 3×22314142035100³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

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, 8411005 + ... + 10741195.

It is an arithmetic number, because the mean of its divisors is an integer number (367103108064).

Almost surely, 2^{22314142035100} is an apocalyptic number.

22314142035100 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 22314142035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26431423780608).

22314142035100 is an abundant number, since it is smaller than the sum of its proper divisors (30548705526116).

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

22314142035100 is a wasteful number, since it uses less digits than its factorization.

22314142035100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2330396 (or 2330389 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 28.

Adding to 22314142035100 its reverse (153024141322), we get a palindrome (22467166176422).

The spelling of 22314142035100 in words is "twenty-two trillion, three hundred fourteen billion, one hundred forty-two million, thirty-five thousand, one hundred".