322143004134100 has 288 divisors, whose sum is σ = 754988669820000. Its totient is φ = 119064678727680.

The previous prime is 322143004134059. The next prime is 322143004134169. The reversal of 322143004134100 is 1431400341223.

It is a happy number.

It can be written as a sum of positive squares in 48 ways, for example, as 197701259754384 + 124441744379716 = 14060628^2 + 11155346^2 .

It is a super-2 number, since 2×322143004134100² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1602210376 + ... + 1602411424.

It is an arithmetic number, because the mean of its divisors is an integer number (2621488436875).

Almost surely, 2^{322143004134100} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 322143004134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (377494334910000).

322143004134100 is an abundant number, since it is smaller than the sum of its proper divisors (432845665685900).

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

322143004134100 is a wasteful number, since it uses less digits than its factorization.

322143004134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201375 (or 201368 counting only the distinct ones).

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

Adding to 322143004134100 its reverse (1431400341223), we get a palindrome (323574404475323).

The spelling of 322143004134100 in words is "three hundred twenty-two trillion, one hundred forty-three billion, four million, one hundred thirty-four thousand, one hundred".