201202431144 has 128 divisors (see below), whose sum is σ = 596174947200. Its totient is φ = 55782236160.

The previous prime is 201202431139. The next prime is 201202431149. The reversal of 201202431144 is 441134202102.

201202431144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (201202431139) and next prime (201202431149).

It is a super-2 number, since 2×201202431144² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (201202431149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 128412 + ... + 647220.

It is an arithmetic number, because the mean of its divisors is an integer number (4657616775).

Almost surely, 2^201202431144 is an apocalyptic number.

201202431144 is a gapful number since it is divisible by the number (24) 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 201202431144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298087473600).

201202431144 is an abundant number, since it is smaller than the sum of its proper divisors (394972516056).

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

201202431144 is a wasteful number, since it uses less digits than its factorization.

201202431144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518955 (or 518951 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 201202431144 its reverse (441134202102), we get a palindrome (642336633246).

The spelling of 201202431144 in words is "two hundred one billion, two hundred two million, four hundred thirty-one thousand, one hundred forty-four".