22322131344100 has 54 divisors (see below), whose sum is σ = 56347437276690. Its totient is φ = 7653302173440.

The previous prime is 22322131344077. The next prime is 22322131344103. The reversal of 22322131344100 is 144313122322.

It can be written as a sum of positive squares in 3 ways, for example, as 59833073664 + 22262298270436 = 244608^2 + 4718294^2 .

It is a super-3 number, since 3×22322131344100³ (a number of 41 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is not an unprimeable number, because it can be changed into a prime (22322131344103) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2277763605 + ... + 2277773404.

Almost surely, 2^{22322131344100} is an apocalyptic number.

22322131344100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22322131344100 is an abundant number, since it is smaller than the sum of its proper divisors (34025305932590).

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

22322131344100 is a wasteful number, since it uses less digits than its factorization.

22322131344100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555537037 (or 4555537023 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

Adding to 22322131344100 its reverse (144313122322), we get a palindrome (22466444466422).

The spelling of 22322131344100 in words is "twenty-two trillion, three hundred twenty-two billion, one hundred thirty-one million, three hundred forty-four thousand, one hundred".