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220002000100 = 22522200020001
BaseRepresentation
bin1100110011100100100…
…1000001110011100100
3210000212022120120100221
43030321021001303210
512101031003000400
6245022330214124
721615566101051
oct3147111016344
9700768516327
10220002000100
11853364369a3
123677a284344
13179912472ac
14a910768028
155ac9487c1a
hex3339241ce4

220002000100 has 18 divisors (see below), whose sum is σ = 477404340434. Its totient is φ = 88000800000.

The previous prime is 220002000089. The next prime is 220002000121. The reversal of 220002000100 is 1000200022.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 51317653156 + 168684346944 = 226534^2 + 410712^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1100009901 + ... + 1100010100.

Almost surely, 2220002000100 is an apocalyptic number.

220002000100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220002000100 is an abundant number, since it is smaller than the sum of its proper divisors (257402340334).

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

220002000100 is a wasteful number, since it uses less digits than its factorization.

220002000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2200020015 (or 2200020008 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 7.

Adding to 220002000100 its reverse (1000200022), we get a palindrome (221002200122).

The spelling of 220002000100 in words is "two hundred twenty billion, two million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 20 25 50 100 2200020001 4400040002 8800080004 11000100005 22000200010 44000400020 55000500025 110001000050 220002000100