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820123321028 = 221118639166387
BaseRepresentation
bin10111110111100110010…
…10001100001011000100
32220101212210201100212212
423323303022030023010
5101414103032233103
61424432013002552
7113152264131314
oct13736312141304
92811783640785
10820123321028
112968a3263720
12112b41783458
135c450071a1b
142b9a0b8d444
15164eecbc7d8
hexbef328c2c4

820123321028 has 12 divisors (see below), whose sum is σ = 1565689976592. Its totient is φ = 372783327720.

The previous prime is 820123321021. The next prime is 820123321033.

820123321028 is nontrivially palindromic in base 10.

820123321028 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 820123320985 and 820123321003.

It is not an unprimeable number, because it can be changed into a prime (820123321021) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 9319583150 + ... + 9319583237.

It is an arithmetic number, because the mean of its divisors is an integer number (130474164716).

Almost surely, 2820123321028 is an apocalyptic number.

It is an amenable number.

820123321028 is a deficient number, since it is larger than the sum of its proper divisors (745566655564).

820123321028 is a wasteful number, since it uses less digits than its factorization.

820123321028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18639166402 (or 18639166400 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The spelling of 820123321028 in words is "eight hundred twenty billion, one hundred twenty-three million, three hundred twenty-one thousand, twenty-eight".

Divisors: 1 2 4 11 22 44 18639166387 37278332774 74556665548 205030830257 410061660514 820123321028