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320012331320 = 2351119432114219
BaseRepresentation
bin1001010100000100011…
…10001010100100111000
31010121000012122210101102
410222002032022210320
520220341124100240
6403002302510532
732056126635533
oct4520216124470
91117005583342
10320012331320
11113797688aa0
125202b595448
132423bc33286
14116bad17a1a
1584ce563815
hex4a8238a938

320012331320 has 256 divisors, whose sum is σ = 850265856000. Its totient is φ = 107143948800.

The previous prime is 320012331319. The next prime is 320012331323. The reversal of 320012331320 is 23133210023.

It is a super-2 number, since 2×3200123313202 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 320012331292 and 320012331301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (320012331323) 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, 75848171 + ... + 75852389.

It is an arithmetic number, because the mean of its divisors is an integer number (3321351000).

Almost surely, 2320012331320 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 320012331320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425132928000).

320012331320 is an abundant number, since it is smaller than the sum of its proper divisors (530253524680).

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

320012331320 is a wasteful number, since it uses less digits than its factorization.

320012331320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4514 (or 4510 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 320012331320 its reverse (23133210023), we get a palindrome (343145541343).

The spelling of 320012331320 in words is "three hundred twenty billion, twelve million, three hundred thirty-one thousand, three hundred twenty".