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20102212200100 = 2252201022122001
BaseRepresentation
bin1001001001000011010010…
…01101111010011010100100
32122011202022201202020221111
410210201221031322122210
510113323312310400400
6110430455004154404
74143223362261232
oct444415115723244
978152281666844
1020102212200100
1164503337a5888
122307b3a238a04
13b2a827206c04
144d6d49013952
1524cd883ec3ba
hex12486937a6a4

20102212200100 has 18 divisors (see below), whose sum is σ = 43621800474434. Its totient is φ = 8040884880000.

The previous prime is 20102212200019. The next prime is 20102212200107. The reversal of 20102212200100 is 100221220102.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 317223527076 + 19784988673024 = 563226^2 + 4448032^2 .

It is not an unprimeable number, because it can be changed into a prime (20102212200107) 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, 100511060901 + ... + 100511061100.

Almost surely, 220102212200100 is an apocalyptic number.

20102212200100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20102212200100 is an abundant number, since it is smaller than the sum of its proper divisors (23519588274334).

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

20102212200100 is a wasteful number, since it uses less digits than its factorization.

20102212200100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 201022122015 (or 201022122008 counting only the distinct ones).

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

Adding to 20102212200100 its reverse (100221220102), we get a palindrome (20202433420202).

The spelling of 20102212200100 in words is "twenty trillion, one hundred two billion, two hundred twelve million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 201022122001 402044244002 804088488004 1005110610005 2010221220010 4020442440020 5025553050025 10051106100050 20102212200100