Search a number
-
+
20321032312320 = 29355957178541
BaseRepresentation
bin1001001111011010110111…
…11010011001011000000000
32122221200010200101200221020
410213231123322121120000
510130414433232443240
6111115204154425440
74165101060451125
oct447553372313000
978850120350836
1020321032312320
116525112a76933
122342428732280
13b4535a62ba5c
1450378680474c
152538e3c260d0
hex127b5be99600

20321032312320 has 320 divisors, whose sum is σ = 66181424474880. Its totient is φ = 5317698355200.

The previous prime is 20321032312309. The next prime is 20321032312363. The reversal of 20321032312320 is 2321323012302.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 258692250 + ... + 258770790.

It is an arithmetic number, because the mean of its divisors is an integer number (206816951484).

Almost surely, 220321032312320 is an apocalyptic number.

20321032312320 is a gapful number since it is divisible by the number (20) 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 20321032312320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33090712237440).

20321032312320 is an abundant number, since it is smaller than the sum of its proper divisors (45860392162560).

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

20321032312320 is an equidigital number, since it uses as much as digits as its factorization.

20321032312320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79197 (or 79181 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 20321032312320 its reverse (2321323012302), we get a palindrome (22642355324622).

The spelling of 20321032312320 in words is "twenty trillion, three hundred twenty-one billion, thirty-two million, three hundred twelve thousand, three hundred twenty".