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12022200100 = 2252891350809
BaseRepresentation
bin10110011001001010…
…00011011100100100
31011000211220001011101
423030211003130210
5144110140400400
65304541245444
7603631005031
oct131445033444
934024801141
1012022200100
11510a244969
1223b6263884
131197938491
1482095a388
154a56a856a
hex2cc943724

12022200100 has 36 divisors (see below), whose sum is σ = 26381319300. Its totient is φ = 4754844160.

The previous prime is 12022200059. The next prime is 12022200101. The reversal of 12022200100 is 100222021.

It can be written as a sum of positive squares in 6 ways, for example, as 480135744 + 11542064356 = 21912^2 + 107434^2 .

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

It is not an unprimeable number, because it can be changed into a prime (12022200101) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 666505 + ... + 684304.

It is an arithmetic number, because the mean of its divisors is an integer number (732814425).

Almost surely, 212022200100 is an apocalyptic number.

12022200100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022200100 is an abundant number, since it is smaller than the sum of its proper divisors (14359119200).

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

12022200100 is a wasteful number, since it uses less digits than its factorization.

12022200100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1350912 (or 1350905 counting only the distinct ones).

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

Adding to 12022200100 its reverse (100222021), we get a palindrome (12122422121).

The spelling of 12022200100 in words is "twelve billion, twenty-two million, two hundred thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 89 100 178 356 445 890 1780 2225 4450 8900 1350809 2701618 5403236 6754045 13508090 27016180 33770225 67540450 120222001 135080900 240444002 480888004 601110005 1202220010 2404440020 3005550025 6011100050 12022200100