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20221032310100 = 2252202210323101
BaseRepresentation
bin1001001100100000100110…
…11100101010010101010100
32122121010000111202020122022
410212100103130222111110
510122300133232410400
6111001225231352312
74154631013453136
oct446202334522524
978533014666568
1020221032310100
11649676763a0a6
122326b7a982698
13b38ab1b1b2cb
144dc9bb783056
15250ede9dab85
hex12641372a554

20221032310100 has 18 divisors (see below), whose sum is σ = 43879640113134. Its totient is φ = 8088412924000.

The previous prime is 20221032310091. The next prime is 20221032310117. The reversal of 20221032310100 is 101323012202.

It can be written as a sum of positive squares in 3 ways, for example, as 324829323844 + 19896202986256 = 569938^2 + 4460516^2 .

It is a super-2 number, since 2×202210323101002 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 101105161451 + ... + 101105161650.

It is an arithmetic number, because the mean of its divisors is an integer number (2437757784063).

Almost surely, 220221032310100 is an apocalyptic number.

20221032310100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20221032310100 is an abundant number, since it is smaller than the sum of its proper divisors (23658607803034).

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

20221032310100 is a wasteful number, since it uses less digits than its factorization.

20221032310100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202210323115 (or 202210323108 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 17.

Adding to 20221032310100 its reverse (101323012202), we get a palindrome (20322355322302).

The spelling of 20221032310100 in words is "twenty trillion, two hundred twenty-one billion, thirty-two million, three hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 202210323101 404420646202 808841292404 1011051615505 2022103231010 4044206462020 5055258077525 10110516155050 20221032310100