10420434310 has 32 divisors (see below), whose sum is σ = 22035942432. Its totient is φ = 3497767680.

The previous prime is 10420434287. The next prime is 10420434331. The reversal of 10420434310 is 1343402401.

10420434310 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10420434310² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 3642079 + ... + 3644938.

It is an arithmetic number, because the mean of its divisors is an integer number (688623201).

Almost surely, 2^10420434310 is an apocalyptic number.

10420434310 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10420434310 is an abundant number, since it is smaller than the sum of its proper divisors (11615508122).

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

10420434310 is a wasteful number, since it uses less digits than its factorization.

10420434310 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7287048.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 10420434310 its reverse (1343402401), we get a palindrome (11763836711).

The spelling of 10420434310 in words is "ten billion, four hundred twenty million, four hundred thirty-four thousand, three hundred ten".