22314100141322 has 128 divisors (see below), whose sum is σ = 39575112192000. Its totient is φ = 9335821017600.

The previous prime is 22314100141301. The next prime is 22314100141331.

It is a happy number.

22314100141322 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×22314100141322³ (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22314100141291 and 22314100141300.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262325054 + ... + 262410102.

It is an arithmetic number, because the mean of its divisors is an integer number (309180564000).

Almost surely, 2^{22314100141322} is an apocalyptic number.

22314100141322 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22314100141322 is a deficient number, since it is larger than the sum of its proper divisors (17261012050678).

22314100141322 is a wasteful number, since it uses less digits than its factorization.

22314100141322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85332.

The product of its (nonzero) digits is 2304, while the sum is 26.

It can be divided in two parts, 22314100 and 141322, that added together give a palindrome (22455422).

The spelling of 22314100141322 in words is "twenty-two trillion, three hundred fourteen billion, one hundred million, one hundred forty-one thousand, three hundred twenty-two".