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20021122110100 = 22521711777130653
BaseRepresentation
bin1001000110101100001111…
…10111110001001010010100
32121220000000102102212120211
410203112013313301022110
510111011224230010400
6110325324310135204
74134323033006536
oct443260767611224
977800012385524
1020021122110100
116419a01532a81
1222b4289351504
13b22ca32b1037
144d3055599856
1524abde3a3dba
hex123587df1294

20021122110100 has 36 divisors (see below), whose sum is σ = 46001472334524. Its totient is φ = 7537363617280.

The previous prime is 20021122110091. The next prime is 20021122110113. The reversal of 20021122110100 is 101122112002.

It can be written as a sum of positive squares in 6 ways, for example, as 2280635536 + 20018841474564 = 47756^2 + 4474242^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5888563627 + ... + 5888567026.

It is an arithmetic number, because the mean of its divisors is an integer number (1277818675959).

Almost surely, 220021122110100 is an apocalyptic number.

20021122110100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20021122110100 is an abundant number, since it is smaller than the sum of its proper divisors (25980350224424).

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

20021122110100 is a wasteful number, since it uses less digits than its factorization.

20021122110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11777130684 (or 11777130677 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 13.

Adding to 20021122110100 its reverse (101122112002), we get a palindrome (20122244222102).

The spelling of 20021122110100 in words is "twenty trillion, twenty-one billion, one hundred twenty-two million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 34 50 68 85 100 170 340 425 850 1700 11777130653 23554261306 47108522612 58885653265 117771306530 200211221101 235542613060 294428266325 400422442202 588856532650 800844884404 1001056105505 1177713065300 2002112211010 4004224422020 5005280527525 10010561055050 20021122110100