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2211232122020 = 225110561606101
BaseRepresentation
bin100000001011010111101…
…101001000010010100100
321211101120120100110020202
4200023113231020102210
5242212100410401040
64411454230250032
7315520251626345
oct40132755102244
97741516313222
102211232122020
11782861982559
122b86751b6918
13130697900c9c
147904a5c60cc
153c7bc593015
hex202d7b484a4

2211232122020 has 12 divisors (see below), whose sum is σ = 4643587456284. Its totient is φ = 884492848800.

The previous prime is 2211232122017. The next prime is 2211232122053. The reversal of 2211232122020 is 202212321122.

It can be written as a sum of positive squares in 2 ways, for example, as 505737167104 + 1705494954916 = 711152^2 + 1305946^2 .

It is a Harshad number since it is a multiple of its sum of digits (20), and also a Moran number because the ratio is a prime number: 110561606101 = 2211232122020 / (2 + 2 + 1 + 1 + 2 + 3 + 2 + 1 + 2 + 2 + 0 + 2 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 2211232121983 and 2211232122001.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 55280803031 + ... + 55280803070.

It is an arithmetic number, because the mean of its divisors is an integer number (386965621357).

Almost surely, 22211232122020 is an apocalyptic number.

2211232122020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2211232122020 is an abundant number, since it is smaller than the sum of its proper divisors (2432355334264).

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

2211232122020 is a wasteful number, since it uses less digits than its factorization.

2211232122020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110561606110 (or 110561606108 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 2211232122020 its reverse (202212321122), we get a palindrome (2413444443142).

The spelling of 2211232122020 in words is "two trillion, two hundred eleven billion, two hundred thirty-two million, one hundred twenty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 110561606101 221123212202 442246424404 552808030505 1105616061010 2211232122020