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120311312200 = 2352601556561
BaseRepresentation
bin111000000001100011…
…1001110111101001000
3102111112200221220112221
41300003013032331020
53432344143442300
6131134212543424
711456266165102
oct1600307167510
9374480856487
10120311312200
1147029665632
121b398021b74
13b464846081
145b74822572
1531e249b31a
hex1c031cef48

120311312200 has 24 divisors (see below), whose sum is σ = 279723801330. Its totient is φ = 48124524800.

The previous prime is 120311312141. The next prime is 120311312249. The reversal of 120311312200 is 2213113021.

It can be written as a sum of positive squares in 3 ways, for example, as 103705897156 + 16605415044 = 322034^2 + 128862^2 .

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, 300778081 + ... + 300778480.

Almost surely, 2120311312200 is an apocalyptic number.

120311312200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120311312200 is an abundant number, since it is smaller than the sum of its proper divisors (159412489130).

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

120311312200 is a wasteful number, since it uses less digits than its factorization.

120311312200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601556577 (or 601556568 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 120311312200 its reverse (2213113021), we get a palindrome (122524425221).

It can be divided in two parts, 12031 and 1312200, that added together give a palindrome (1324231).

The spelling of 120311312200 in words is "one hundred twenty billion, three hundred eleven million, three hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 601556561 1203113122 2406226244 3007782805 4812452488 6015565610 12031131220 15038914025 24062262440 30077828050 60155656100 120311312200