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120000020200 = 23523531699717
BaseRepresentation
bin110111111000010001…
…1101111111011101000
3102110202000012122012121
41233300203233323220
53431230001121300
6131043252521024
711445466225204
oct1576043577350
9373660178177
10120000020200
1146989979315
121b30b920174
13b4151c3618
145b4534db04
1531c4eab81a
hex1bf08efee8

120000020200 has 48 divisors (see below), whose sum is σ = 279790579980. Its totient is φ = 47864002560.

The previous prime is 120000020177. The next prime is 120000020207. The reversal of 120000020200 is 2020000021.

It is a happy number.

120000020200 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 6 ways, for example, as 69724514916 + 50275505284 = 264054^2 + 224222^2 .

120000020200 is a modest number, since divided by 20200 gives 1200 as remainder.

It is not an unprimeable number, because it can be changed into a prime (120000020207) 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 11 ways as a sum of consecutive naturals, for example, 779259 + ... + 920458.

Almost surely, 2120000020200 is an apocalyptic number.

120000020200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

120000020200 is an abundant number, since it is smaller than the sum of its proper divisors (159790559780).

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

120000020200 is a wasteful number, since it uses less digits than its factorization.

120000020200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700086 (or 1700077 counting only the distinct ones).

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

Adding to 120000020200 its reverse (2020000021), we get a palindrome (122020020221).

The spelling of 120000020200 in words is "one hundred twenty billion, twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 353 706 1412 1765 2824 3530 7060 8825 14120 17650 35300 70600 1699717 3399434 6798868 8498585 13597736 16997170 33994340 42492925 67988680 84985850 169971700 339943400 600000101 1200000202 2400000404 3000000505 4800000808 6000001010 12000002020 15000002525 24000004040 30000005050 60000010100 120000020200