431401120100 has 36 divisors (see below), whose sum is σ = 937203210468. Its totient is φ = 172364544000.

The previous prime is 431401120061. The next prime is 431401120103. The reversal of 431401120100 is 1021104134.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 128090978404 + 303310141696 = 357898^2 + 550736^2 .

It is a super-2 number, since 2×431401120100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (431401120103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2360261 + ... + 2536460.

It is an arithmetic number, because the mean of its divisors is an integer number (26033422513).

Almost surely, 2^431401120100 is an apocalyptic number.

It is an amenable number.

431401120100 is an abundant number, since it is smaller than the sum of its proper divisors (505802090368).

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

431401120100 is a wasteful number, since it uses less digits than its factorization.

431401120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4897616 (or 4897609 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

Adding to 431401120100 its reverse (1021104134), we get a palindrome (432422224234).

The spelling of 431401120100 in words is "four hundred thirty-one billion, four hundred one million, one hundred twenty thousand, one hundred".