430001121100034 has 12 divisors (see below), whose sum is σ = 708968790574422. Its totient is φ = 195455055045360.

The previous prime is 430001121100009. The next prime is 430001121100049.

430001121100034 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 418613850603025 + 11387270497009 = 20460055^2 + 3374503^2 .

It is a super-2 number, since 2×430001121100034² (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 430001121099979 and 430001121100015.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 888432068147 + ... + 888432068630.

Almost surely, 2^{430001121100034} is an apocalyptic number.

430001121100034 is a deficient number, since it is larger than the sum of its proper divisors (278967669474388).

430001121100034 is a wasteful number, since it uses less digits than its factorization.

430001121100034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1776864136801 (or 1776864136790 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

The spelling of 430001121100034 in words is "four hundred thirty trillion, one billion, one hundred twenty-one million, one hundred thousand, thirty-four".