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122444000200 = 2352612220001
BaseRepresentation
bin111001000001000111…
…0110010101111001000
3102201001022222200111101
41302002032302233020
54001231131001300
6132125555511144
711563163554264
oct1620216625710
9381038880441
10122444000200
1147a2349a6a5
121b8922b84b4
13b71463a532
145cd7b7b0a4
1532b981db6a
hex1c823b2bc8

122444000200 has 24 divisors (see below), whose sum is σ = 284682300930. Its totient is φ = 48977600000.

The previous prime is 122444000179. The next prime is 122444000201. The reversal of 122444000200 is 2000444221.

122444000200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 3 ways, for example, as 69770996164 + 52673004036 = 264142^2 + 229506^2 .

It is not an unprimeable number, because it can be changed into a prime (122444000201) by changing a digit.

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, 306109801 + ... + 306110200.

Almost surely, 2122444000200 is an apocalyptic number.

122444000200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

122444000200 is an abundant number, since it is smaller than the sum of its proper divisors (162238300730).

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

122444000200 is a wasteful number, since it uses less digits than its factorization.

122444000200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 612220017 (or 612220008 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

Adding to 122444000200 its reverse (2000444221), we get a palindrome (124444444421).

The spelling of 122444000200 in words is "one hundred twenty-two billion, four hundred forty-four million, two hundred", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 612220001 1224440002 2448880004 3061100005 4897760008 6122200010 12244400020 15305500025 24488800040 30611000050 61222000100 122444000200