Search a number
-
+
320003002000 = 245311172337201
BaseRepresentation
bin1001010100000011010…
…10100100111010010000
31010120222120002210222001
410222001222210322100
520220331232031000
6403001330523344
732055654431413
oct4520152447220
91116876083861
10320003002000
11113792396810
1252028436554
132423a017a76
14116b99a9b7a
1584cd81e46a
hex4a81aa4e90

320003002000 has 320 divisors, whose sum is σ = 932647592448. Its totient is φ = 104755200000.

The previous prime is 320003001953. The next prime is 320003002001. The reversal of 320003002000 is 200300023.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is not an unprimeable number, because it can be changed into a prime (320003002001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 8583400 + ... + 8620600.

Almost surely, 2320003002000 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 320003002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (466323796224).

320003002000 is an abundant number, since it is smaller than the sum of its proper divisors (612644590448).

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

320003002000 is a wasteful number, since it uses less digits than its factorization.

320003002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37275 (or 37259 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 10.

Adding to 320003002000 its reverse (200300023), we get a palindrome (320203302023).

The spelling of 320003002000 in words is "three hundred twenty billion, three million, two thousand".