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200212100001 = 361716155257
BaseRepresentation
bin1011101001110110010…
…0100011001110100001
3201010210010101111000000
42322131210203032201
511240013244200001
6231550504050213
720315304525234
oct2723544431641
9633703344000
10200212100001
1177a00569061
1232976763969
1315b59251b34
14999433341b
15531bdbda86
hex2e9d9233a1

200212100001 has 28 divisors (see below), whose sum is σ = 317838545892. Its totient is φ = 125623270656.

The previous prime is 200212099979. The next prime is 200212100003. The reversal of 200212100001 is 100001212002.

200212100001 is digitally balanced in base 2, 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 2 ways, for example, as 149323507776 + 50888592225 = 386424^2 + 225585^2 .

It is not a de Polignac number, because 200212100001 - 26 = 200212099937 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (200212100003) 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 27 ways as a sum of consecutive naturals, for example, 8065236 + ... + 8090021.

It is an arithmetic number, because the mean of its divisors is an integer number (11351376639).

Almost surely, 2200212100001 is an apocalyptic number.

It is an amenable number.

200212100001 is a deficient number, since it is larger than the sum of its proper divisors (117626445891).

200212100001 is an equidigital number, since it uses as much as digits as its factorization.

200212100001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16155292 (or 16155277 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 200212100001 its reverse (100001212002), we get a palindrome (300213312003).

The spelling of 200212100001 in words is "two hundred billion, two hundred twelve million, one hundred thousand, one".

Divisors: 1 3 9 17 27 51 81 153 243 459 729 1377 4131 12393 16155257 48465771 145397313 274639369 436191939 823918107 1308575817 2471754321 3925727451 7415262963 11777182353 22245788889 66737366667 200212100001