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21200001220 = 2252017525533
BaseRepresentation
bin10011101111100111…
…100101100011000100
32000201110112122110101
4103233213211203010
5321404200014340
613423353333444
71350233015506
oct235747454304
960643478411
1021200001220
118a99936772
124137a07284
131ccb19c828
141051815d76
158412a6c9a
hex4ef9e58c4

21200001220 has 24 divisors (see below), whose sum is σ = 44542159704. Its totient is φ = 8475780096.

The previous prime is 21200001197. The next prime is 21200001223. The reversal of 21200001220 is 2210000212.

It can be written as a sum of positive squares in 4 ways, for example, as 415588996 + 20784412224 = 20386^2 + 144168^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 21200001197 and 21200001206.

It is not an unprimeable number, because it can be changed into a prime (21200001223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 222427 + ... + 303106.

It is an arithmetic number, because the mean of its divisors is an integer number (1855923321).

Almost surely, 221200001220 is an apocalyptic number.

21200001220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200001220 is an abundant number, since it is smaller than the sum of its proper divisors (23342158484).

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

21200001220 is a wasteful number, since it uses less digits than its factorization.

21200001220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 527559 (or 527557 counting only the distinct ones).

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

Adding to 21200001220 its reverse (2210000212), we get a palindrome (23410001432).

The spelling of 21200001220 in words is "twenty-one billion, two hundred million, one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 2017 4034 8068 10085 20170 40340 525533 1051066 2102132 2627665 5255330 10510660 1060000061 2120000122 4240000244 5300000305 10600000610 21200001220