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211666276001 is a prime number
BaseRepresentation
bin1100010100100001001…
…0110000111010100001
3202020100101102220120202
43011020102300322201
511431443031313001
6241123234514545
721202200442325
oct3051022607241
9666311386522
10211666276001
1181849105014
1235032735a55
1316c632a8b7b
14a35d66b985
15578c77396b
hex31484b0ea1

211666276001 has 2 divisors, whose sum is σ = 211666276002. Its totient is φ = 211666276000.

The previous prime is 211666275991. The next prime is 211666276007. The reversal of 211666276001 is 100672666112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 155993401600 + 55672874401 = 394960^2 + 235951^2 .

It is a cyclic number.

It is not a de Polignac number, because 211666276001 - 218 = 211666013857 is a prime.

It is a super-2 number, since 2×2116662760012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (211666276007) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 105833138000 + 105833138001.

It is an arithmetic number, because the mean of its divisors is an integer number (105833138001).

Almost surely, 2211666276001 is an apocalyptic number.

It is an amenable number.

211666276001 is a deficient number, since it is larger than the sum of its proper divisors (1).

211666276001 is an equidigital number, since it uses as much as digits as its factorization.

211666276001 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 36288, while the sum is 38.

The spelling of 211666276001 in words is "two hundred eleven billion, six hundred sixty-six million, two hundred seventy-six thousand, one".