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20020112122100 = 2252200201121221
BaseRepresentation
bin1001000110101010010111…
…01010111110000011110100
32121212220102000222011111212
410203111023222332003310
510111002142200401400
6110325040150420552
74134256020156236
oct443251352760364
977786360864455
1020020112122100
116419533408052
1222b4047061758
13b22b71c878bc
144d2d9b3ac256
1524ab8089d335
hex12354babe0f4

20020112122100 has 18 divisors (see below), whose sum is σ = 43443643305174. Its totient is φ = 8008044848800.

The previous prime is 20020112122099. The next prime is 20020112122151. The reversal of 20020112122100 is 122121102002.

It can be written as a sum of positive squares in 3 ways, for example, as 96047927056 + 19924064195044 = 309916^2 + 4463638^2 .

It is a congruent number.

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 100100560511 + ... + 100100560710.

Almost surely, 220020112122100 is an apocalyptic number.

20020112122100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20020112122100 is an abundant number, since it is smaller than the sum of its proper divisors (23423531183074).

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

20020112122100 is a wasteful number, since it uses less digits than its factorization.

20020112122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200201121235 (or 200201121228 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 20020112122100 its reverse (122121102002), we get a palindrome (20142233224102).

The spelling of 20020112122100 in words is "twenty trillion, twenty billion, one hundred twelve million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 200201121221 400402242442 800804484884 1001005606105 2002011212210 4004022424420 5005028030525 10010056061050 20020112122100