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211431301117 is a prime number
BaseRepresentation
bin1100010011101001001…
…0011001111111111101
3202012202000021221122021
43010322102121333331
511431002403113432
6241044042320141
721163315256341
oct3047222317775
9665660257567
10211431301117
11817385039a3
1234b87ab9051
1316c266c738a
14a33a383621
155776d0b697
hex313a499ffd

211431301117 has 2 divisors, whose sum is σ = 211431301118. Its totient is φ = 211431301116.

The previous prime is 211431301099. The next prime is 211431301201. The reversal of 211431301117 is 711103134112.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 130990429476 + 80440871641 = 361926^2 + 283621^2 .

It is a cyclic number.

It is not a de Polignac number, because 211431301117 - 235 = 177071562749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 211431301091 and 211431301100.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (211431305117) 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, 105715650558 + 105715650559.

It is an arithmetic number, because the mean of its divisors is an integer number (105715650559).

Almost surely, 2211431301117 is an apocalyptic number.

It is an amenable number.

211431301117 is a deficient number, since it is larger than the sum of its proper divisors (1).

211431301117 is an equidigital number, since it uses as much as digits as its factorization.

211431301117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 25.

Adding to 211431301117 its reverse (711103134112), we get a palindrome (922534435229).

The spelling of 211431301117 in words is "two hundred eleven billion, four hundred thirty-one million, three hundred one thousand, one hundred seventeen".