430114300100 has 72 divisors (see below), whose sum is σ = 953892420936. Its totient is φ = 168289920000.

The previous prime is 430114300067. The next prime is 430114300103. The reversal of 430114300100 is 1003411034.

It can be written as a sum of positive squares in 12 ways, for example, as 269172117124 + 160942182976 = 518818^2 + 401176^2 .

It is a super-2 number, since 2×430114300100² (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (430114300103) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 909320 + ... + 1298880.

Almost surely, 2^430114300100 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 430114300100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476946210468).

430114300100 is an abundant number, since it is smaller than the sum of its proper divisors (523778120836).

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

430114300100 is a wasteful number, since it uses less digits than its factorization.

430114300100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 389817 (or 389810 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 430114300100 its reverse (1003411034), we get a palindrome (431117711134).

The spelling of 430114300100 in words is "four hundred thirty billion, one hundred fourteen million, three hundred thousand, one hundred".