10214310420 has 72 divisors (see below), whose sum is σ = 31057233480. Its totient is φ = 2717326080.

The previous prime is 10214310401. The next prime is 10214310479. The reversal of 10214310420 is 2401341201.

10214310420 is a `hidden beast` number, since 1 + 0 + 214 + 31 + 0 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1066153104 + 9148157316 = 32652^2 + 95646^2 .

It is a super-2 number, since 2×10214310420² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10214310393 and 10214310402.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8386 + ... + 143174.

It is an arithmetic number, because the mean of its divisors is an integer number (431350465).

Almost surely, 2^10214310420 is an apocalyptic number.

10214310420 is a gapful number since it is divisible by the number (10) 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 10214310420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15528616740).

10214310420 is an abundant number, since it is smaller than the sum of its proper divisors (20842923060).

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

10214310420 is a wasteful number, since it uses less digits than its factorization.

10214310420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135225 (or 135220 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 10214310420 its reverse (2401341201), we get a palindrome (12615651621).

The spelling of 10214310420 in words is "ten billion, two hundred fourteen million, three hundred ten thousand, four hundred twenty".