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20122122221001 = 336711123340089
BaseRepresentation
bin1001001001101000010111…
…11100100111010111001001
32122020122201021222010002000
410210310023330213113021
510114140101242033001
6110443550401101213
74144526642540343
oct444641374472711
978218637863060
1020122122221001
116458820458209
12230b976027809
13b2c67b069278
144d7cb7396293
1524d6512e2a86
hex124d0bf275c9

20122122221001 has 16 divisors (see below), whose sum is σ = 30255485044800. Its totient is φ = 13214528024544.

The previous prime is 20122122220999. The next prime is 20122122221057. The reversal of 20122122221001 is 10012222122102.

It is a happy number.

20122122221001 is a `hidden beast` number, since 201 + 221 + 22 + 221 + 0 + 0 + 1 = 666.

It is not a de Polignac number, because 20122122221001 - 21 = 20122122220999 is a prime.

It is not an unprimeable number, because it can be changed into a prime (20122122221801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5561668236 + ... + 5561671853.

It is an arithmetic number, because the mean of its divisors is an integer number (1890967815300).

Almost surely, 220122122221001 is an apocalyptic number.

It is an amenable number.

20122122221001 is a deficient number, since it is larger than the sum of its proper divisors (10133362823799).

20122122221001 is a wasteful number, since it uses less digits than its factorization.

20122122221001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11123340165 (or 11123340159 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 20122122221001 its reverse (10012222122102), we get a palindrome (30134344343103).

The spelling of 20122122221001 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-two million, two hundred twenty-one thousand, one".

Divisors: 1 3 9 27 67 201 603 1809 11123340089 33370020267 100110060801 300330182403 745263785963 2235791357889 6707374073667 20122122221001