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20100212000020 = 2256029166696069
BaseRepresentation
bin1001001000111111100011…
…11111110000010100010100
32122011120011100000120021001
410210133301333300110110
510113310213233000040
6110425524313033044
74143122663664145
oct444376177602424
978146140016231
1020100212000020
11644a4a7731969
1223076803b5784
13b2a5989bc779
144d6bd9505acc
1524ccbc9ea59a
hex1247f1ff0514

20100212000020 has 24 divisors (see below), whose sum is σ = 42217446688200. Its totient is φ = 8038751183232.

The previous prime is 20100211999979. The next prime is 20100212000047. The reversal of 20100212000020 is 2000021200102.

It can be written as a sum of positive squares in 4 ways, for example, as 5486519198224 + 14613692801796 = 2342332^2 + 3822786^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 20100211999970 and 20100212000006.

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 7 ways as a sum of consecutive naturals, for example, 83227455 + ... + 83468614.

It is an arithmetic number, because the mean of its divisors is an integer number (1759060278675).

Almost surely, 220100212000020 is an apocalyptic number.

20100212000020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20100212000020 is an abundant number, since it is smaller than the sum of its proper divisors (22117234688180).

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

20100212000020 is a wasteful number, since it uses less digits than its factorization.

20100212000020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166702107 (or 166702105 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 20100212000020 its reverse (2000021200102), we get a palindrome (22100233200122).

The spelling of 20100212000020 in words is "twenty trillion, one hundred billion, two hundred twelve million, twenty", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 6029 12058 24116 30145 60290 120580 166696069 333392138 666784276 833480345 1666960690 3333921380 1005010600001 2010021200002 4020042400004 5025053000005 10050106000010 20100212000020