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2023322120320 = 2753161440813
BaseRepresentation
bin11101011100010111011…
…001010111000010000000
321011102112210112022120011
4131130113121113002000
5231122230430322240
64145300142554304
7266115544153654
oct35342731270200
97142483468504
102023322120320
117100a4652a96
12288172598994
13118a4c297877
146dd0206ca64
153797071a6ea
hex1d717657080

2023322120320 has 32 divisors (see below), whose sum is σ = 4837004445420. Its totient is φ = 809328847872.

The previous prime is 2023322120317. The next prime is 2023322120321. The reversal of 2023322120320 is 230212233202.

It can be written as a sum of positive squares in 2 ways, for example, as 1957962129984 + 65359990336 = 1399272^2 + 255656^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a junction number, because it is equal to n+sod(n) for n = 2023322120291 and 2023322120300.

It is not an unprimeable number, because it can be changed into a prime (2023322120321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1580719767 + ... + 1580721046.

Almost surely, 22023322120320 is an apocalyptic number.

2023322120320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2023322120320 is an abundant number, since it is smaller than the sum of its proper divisors (2813682325100).

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

2023322120320 is an equidigital number, since it uses as much as digits as its factorization.

2023322120320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3161440832 (or 3161440820 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 2023322120320 its reverse (230212233202), we get a palindrome (2253534353522).

The spelling of 2023322120320 in words is "two trillion, twenty-three billion, three hundred twenty-two million, one hundred twenty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 3161440813 6322881626 12645763252 15807204065 25291526504 31614408130 50583053008 63228816260 101166106016 126457632520 202332212032 252915265040 404664424064 505830530080 1011661060160 2023322120320