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211671660149 is a prime number
BaseRepresentation
bin1100010100100010011…
…1010011011001110101
3202020100202120110020122
43011020213103121311
511432000421111044
6241123550141325
721202264265465
oct3051047233165
9666322513218
10211671660149
1181851152224
12350344b1845
1316c64442761
14a36026dba5
15578ce88dee
hex31489d3675

211671660149 has 2 divisors, whose sum is σ = 211671660150. Its totient is φ = 211671660148.

The previous prime is 211671660133. The next prime is 211671660199. The reversal of 211671660149 is 941066176112.

It is a happy number.

211671660149 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 150567280900 + 61104379249 = 388030^2 + 247193^2 .

It is a cyclic number.

It is not a de Polignac number, because 211671660149 - 24 = 211671660133 is a prime.

It is a super-3 number, since 3×2116716601493 (a number of 35 digits) contains 333 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211671660119) 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, 105835830074 + 105835830075.

It is an arithmetic number, because the mean of its divisors is an integer number (105835830075).

Almost surely, 2211671660149 is an apocalyptic number.

It is an amenable number.

211671660149 is a deficient number, since it is larger than the sum of its proper divisors (1).

211671660149 is an equidigital number, since it uses as much as digits as its factorization.

211671660149 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108864, while the sum is 44.

The spelling of 211671660149 in words is "two hundred eleven billion, six hundred seventy-one million, six hundred sixty thousand, one hundred forty-nine".