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213311101 is a prime number
BaseRepresentation
bin11001011011011…
…01111001111101
3112212101022211011
430231231321331
5414101423401
633055555221
75200054153
oct1455557175
9485338734
10213311101
11aa454873
125b52bb11
1335267cb3
14204893d3
1513ad8451
hexcb6de7d

213311101 has 2 divisors, whose sum is σ = 213311102. Its totient is φ = 213311100.

The previous prime is 213311071. The next prime is 213311113. The reversal of 213311101 is 101113312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 154405476 + 58905625 = 12426^2 + 7675^2 .

It is a cyclic number.

It is not a de Polignac number, because 213311101 - 29 = 213310589 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (213311171) 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, 106655550 + 106655551.

It is an arithmetic number, because the mean of its divisors is an integer number (106655551).

Almost surely, 2213311101 is an apocalyptic number.

It is an amenable number.

213311101 is a deficient number, since it is larger than the sum of its proper divisors (1).

213311101 is an equidigital number, since it uses as much as digits as its factorization.

213311101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18, while the sum is 13.

The square root of 213311101 is about 14605.1737750703. The cubic root of 213311101 is about 597.4998754690.

Adding to 213311101 its reverse (101113312), we get a palindrome (314424413).

The spelling of 213311101 in words is "two hundred thirteen million, three hundred eleven thousand, one hundred one".