Search a number
-
+
320021423124 = 22313193741103691
BaseRepresentation
bin1001010100000101100…
…00110110010000010100
31010121000211202200222220
410222002300312100110
520220400441014444
6403003225422340
732056300133334
oct4520260662024
91117024680886
10320021423124
111137a1828887
125203263a9b0
1324240a97640
14116bc2030c4
1584d025c619
hex4a82c36414

320021423124 has 384 divisors, whose sum is σ = 900509675520. Its totient is φ = 87563980800.

The previous prime is 320021423101. The next prime is 320021423147. The reversal of 320021423124 is 421324120023.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (320021423101) and next prime (320021423147).

It is a super-2 number, since 2×3200214231242 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 320021423094 and 320021423103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 463127619 + ... + 463128309.

It is an arithmetic number, because the mean of its divisors is an integer number (2345077280).

Almost surely, 2320021423124 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 320021423124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450254837760).

320021423124 is an abundant number, since it is smaller than the sum of its proper divisors (580488252396).

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

320021423124 is a wasteful number, since it uses less digits than its factorization.

320021423124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 909 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 320021423124 its reverse (421324120023), we get a palindrome (741345543147).

The spelling of 320021423124 in words is "three hundred twenty billion, twenty-one million, four hundred twenty-three thousand, one hundred twenty-four".