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320232020212320 = 253519471013737501
BaseRepresentation
bin100100011001111111101001…
…1110011110111101001100000
31112222211212211002101002200220
41020303333103303313221200
5313433140134133243240
63053024320440443040
7124310666663001456
oct11063772363675140
91488755732332626
10320232020212320
1193043700a84147
122babb13b779480
131098b9997a30c8
14591145361a9d6
152704e82ce95d0
hex1233fd3cf7a60

320232020212320 has 384 divisors, whose sum is σ = 1085485887682560. Its totient is φ = 79101158400000.

The previous prime is 320232020212319. The next prime is 320232020212369. The reversal of 320232020212320 is 23212020232023.

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 63 ways as a sum of consecutive naturals, for example, 433843570 + ... + 434581070.

It is an arithmetic number, because the mean of its divisors is an integer number (2826786165840).

Almost surely, 2320232020212320 is an apocalyptic number.

320232020212320 is a gapful number since it is divisible by the number (30) 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 320232020212320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (542742943841280).

320232020212320 is an abundant number, since it is smaller than the sum of its proper divisors (765253867470240).

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

320232020212320 is a wasteful number, since it uses less digits than its factorization.

320232020212320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 738598 (or 738590 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 320232020212320 its reverse (23212020232023), we get a palindrome (343444040444343).

The spelling of 320232020212320 in words is "three hundred twenty trillion, two hundred thirty-two billion, twenty million, two hundred twelve thousand, three hundred twenty".