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211969466801 is a prime number
BaseRepresentation
bin1100010101101001011…
…1010110000110110001
3202021010111221121011122
43011122113112012301
511433103140414201
6241213305152025
721212541511451
oct3053227260661
9667114847148
10211969466801
1181994268824
12350b818b615
1316cb1053101
14a38ba31d61
1557a91b2e1b
hex315a5d61b1

211969466801 has 2 divisors, whose sum is σ = 211969466802. Its totient is φ = 211969466800.

The previous prime is 211969466749. The next prime is 211969466803. The reversal of 211969466801 is 108664969112.

211969466801 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 211526406400 + 443060401 = 459920^2 + 21049^2 .

It is a cyclic number.

It is not a de Polignac number, because 211969466801 - 210 = 211969465777 is a prime.

Together with 211969466803, it forms a pair of twin primes.

It is a Chen prime.

It is not a weakly prime, because it can be changed into another prime (211969466803) 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 as a sum of consecutive naturals, namely, 105984733400 + 105984733401.

It is an arithmetic number, because the mean of its divisors is an integer number (105984733401).

Almost surely, 2211969466801 is an apocalyptic number.

It is an amenable number.

211969466801 is a deficient number, since it is larger than the sum of its proper divisors (1).

211969466801 is an equidigital number, since it uses as much as digits as its factorization.

211969466801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1119744, while the sum is 53.

The spelling of 211969466801 in words is "two hundred eleven billion, nine hundred sixty-nine million, four hundred sixty-six thousand, eight hundred one".