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209198400001 is a prime number
BaseRepresentation
bin1100001011010100110…
…0100100001000000001
3201222222101200211010221
43002311030210020001
511411414242300001
6240034315423041
721054063026503
oct3026514441001
9658871624127
10209198400001
11807a2052278
1234664154a81
131695bc16406
14a1a79bdd73
155695c911a1
hex30b5324201

209198400001 has 2 divisors, whose sum is σ = 209198400002. Its totient is φ = 209198400000.

The previous prime is 209198399953. The next prime is 209198400031. The reversal of 209198400001 is 100004891902.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122376830976 + 86821569025 = 349824^2 + 294655^2 .

It is a cyclic number.

It is not a de Polignac number, because 209198400001 - 225 = 209164845569 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 209198400001.

It is not a weakly prime, because it can be changed into another prime (209198400031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 104599200000 + 104599200001.

It is an arithmetic number, because the mean of its divisors is an integer number (104599200001).

Almost surely, 2209198400001 is an apocalyptic number.

It is an amenable number.

209198400001 is a deficient number, since it is larger than the sum of its proper divisors (1).

209198400001 is an equidigital number, since it uses as much as digits as its factorization.

209198400001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 209198400001 in words is "two hundred nine billion, one hundred ninety-eight million, four hundred thousand, one".