3142432220100 has 144 divisors (see below), whose sum is σ = 9116822486016. Its totient is φ = 835705728000.

The previous prime is 3142432220093. The next prime is 3142432220107. The reversal of 3142432220100 is 10222342413.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3142432220093) and next prime (3142432220107).

It is a super-2 number, since 2×3142432220100² (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3142432220107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 320946205 + ... + 320955995.

It is an arithmetic number, because the mean of its divisors is an integer number (63311267264).

Almost surely, 2^{3142432220100} is an apocalyptic number.

3142432220100 is a gapful number since it is divisible by the number (30) 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 3142432220100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4558411243008).

3142432220100 is an abundant number, since it is smaller than the sum of its proper divisors (5974390265916).

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

3142432220100 is a wasteful number, since it uses less digits than its factorization.

3142432220100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606 (or 12599 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 3142432220100 its reverse (10222342413), we get a palindrome (3152654562513).

The spelling of 3142432220100 in words is "three trillion, one hundred forty-two billion, four hundred thirty-two million, two hundred twenty thousand, one hundred".