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12220202200100 = 2252122202022001
BaseRepresentation
bin1011000111010011110011…
…0011111010110000100100
31121021020110220100212221012
42301310330303322300210
53100203433230400400
641553514451241352
72400611000563046
oct261647463726044
947236426325835
1012220202200100
11399161661aa44
121454434ba9258
136a848b2611cb
14303664b7ba96
15162d1ec51d35
hexb1d3ccfac24

12220202200100 has 18 divisors (see below), whose sum is σ = 26517838774434. Its totient is φ = 4888080880000.

The previous prime is 12220202199943. The next prime is 12220202200103. The reversal of 12220202200100 is 100220202221.

It can be written as a sum of positive squares in 3 ways, for example, as 4156638784 + 12216045561316 = 64472^2 + 3495146^2 .

It is a super-2 number, since 2×122202022001002 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (12220202200103) by changing a digit.

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, 61101010901 + ... + 61101011100.

Almost surely, 212220202200100 is an apocalyptic number.

12220202200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12220202200100 is an abundant number, since it is smaller than the sum of its proper divisors (14297636574334).

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

12220202200100 is a wasteful number, since it uses less digits than its factorization.

12220202200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122202022015 (or 122202022008 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

Adding to 12220202200100 its reverse (100220202221), we get a palindrome (12320422402321).

The spelling of 12220202200100 in words is "twelve trillion, two hundred twenty billion, two hundred two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 122202022001 244404044002 488808088004 611010110005 1222020220010 2444040440020 3055050550025 6110101100050 12220202200100