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20002112220100 = 2252200021122201
BaseRepresentation
bin1001000110001000110101…
…10010110010101111000100
32121211011221120222101220211
410203010122302302233010
510110203311212020400
6110312502110205204
74133050662422653
oct443043262625704
977734846871824
1020002112220100
11641193699228a
1222b0662ab3804
13b21263a8cb0a
144d21709a919a
1524a47a513dba
hex12311acb2bc4

20002112220100 has 18 divisors (see below), whose sum is σ = 43404583517834. Its totient is φ = 8000844888000.

The previous prime is 20002112220073. The next prime is 20002112220107. The reversal of 20002112220100 is 102221120002.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 274372725636 + 19727739494464 = 523806^2 + 4441592^2 .

It is not an unprimeable number, because it can be changed into a prime (20002112220107) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 100010561001 + ... + 100010561200.

Almost surely, 220002112220100 is an apocalyptic number.

20002112220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20002112220100 is an abundant number, since it is smaller than the sum of its proper divisors (23402471297734).

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

20002112220100 is a wasteful number, since it uses less digits than its factorization.

20002112220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 200021122215 (or 200021122208 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

Adding to 20002112220100 its reverse (102221120002), we get a palindrome (20104333340102).

The spelling of 20002112220100 in words is "twenty trillion, two billion, one hundred twelve million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 200021122201 400042244402 800084488804 1000105611005 2000211222010 4000422444020 5000528055025 10001056110050 20002112220100