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200210222100289 is a prime number
BaseRepresentation
bin101101100001011100010011…
…001010110010111101000001
3222020212220120121121020111211
4231201130103022302331001
5202220221013324202124
61545451150054410121
760112465641555262
oct5541342312627501
9866786517536454
10200210222100289
115887a7509a6815
121a5560ba360941
1387939872bcbbb
143762325560969
151822dd9b43e94
hexb617132b2f41

200210222100289 has 2 divisors, whose sum is σ = 200210222100290. Its totient is φ = 200210222100288.

The previous prime is 200210222100211. The next prime is 200210222100311. The reversal of 200210222100289 is 982001222012002.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 180846552326400 + 19363669773889 = 13447920^2 + 4400417^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-200210222100289 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 200210222100289.

It is not a weakly prime, because it can be changed into another prime (200210222100989) 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 as a sum of consecutive naturals, namely, 100105111050144 + 100105111050145.

It is an arithmetic number, because the mean of its divisors is an integer number (100105111050145).

Almost surely, 2200210222100289 is an apocalyptic number.

It is an amenable number.

200210222100289 is a deficient number, since it is larger than the sum of its proper divisors (1).

200210222100289 is an equidigital number, since it uses as much as digits as its factorization.

200210222100289 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 31.

The spelling of 200210222100289 in words is "two hundred trillion, two hundred ten billion, two hundred twenty-two million, one hundred thousand, two hundred eighty-nine".