Search a number
-
+
20122100200001 = 149420132146549
BaseRepresentation
bin1001001001101000010101…
…01000100111001001000001
32122020122122202112022221102
410210310022220213021001
510114140030122400001
6110443544253104145
74144526254423232
oct444641250471101
978218582468842
1020122100200001
116458809a87538
12230b96a788055
13b2c676628ca7
144d7cb44a3089
1524d64e3e2e6b
hex124d0aa27241

20122100200001 has 8 divisors (see below), whose sum is σ = 20261970465000. Its totient is φ = 19982294236800.

The previous prime is 20122100199979. The next prime is 20122100200009. The reversal of 20122100200001 is 10000200122102.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 339166464400 + 19782933735601 = 582380^2 + 4447801^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 20122100200001 - 26 = 20122100199937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (20122100200009) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 15447326 + ... + 16699223.

It is an arithmetic number, because the mean of its divisors is an integer number (2532746308125).

Almost surely, 220122100200001 is an apocalyptic number.

It is an amenable number.

20122100200001 is a deficient number, since it is larger than the sum of its proper divisors (139870264999).

20122100200001 is a wasteful number, since it uses less digits than its factorization.

20122100200001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32150899.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 20122100200001 its reverse (10000200122102), we get a palindrome (30122300322103).

The spelling of 20122100200001 in words is "twenty trillion, one hundred twenty-two billion, one hundred million, two hundred thousand, one".

Divisors: 1 149 4201 625949 32146549 4789835801 135047652349 20122100200001