Search a number
-
+
214331101 is a prime number
BaseRepresentation
bin11001100011001…
…10111011011101
3112221022010222221
430301212323131
5414332043401
633133505341
75211533005
oct1461467335
9487263887
10214331101
11aaa91146
125b942251
133553434a
1420673005
1513c3a7a1
hexcc66edd

214331101 has 2 divisors, whose sum is σ = 214331102. Its totient is φ = 214331100.

The previous prime is 214331071. The next prime is 214331107. The reversal of 214331101 is 101133412.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 117288900 + 97042201 = 10830^2 + 9851^2 .

It is a cyclic number.

It is not a de Polignac number, because 214331101 - 25 = 214331069 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (214331107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 107165550 + 107165551.

It is an arithmetic number, because the mean of its divisors is an integer number (107165551).

Almost surely, 2214331101 is an apocalyptic number.

It is an amenable number.

214331101 is a deficient number, since it is larger than the sum of its proper divisors (1).

214331101 is an equidigital number, since it uses as much as digits as its factorization.

214331101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 214331101 is about 14640.0512635714. The cubic root of 214331101 is about 598.4507261757.

Adding to 214331101 its reverse (101133412), we get a palindrome (315464513).

The spelling of 214331101 in words is "two hundred fourteen million, three hundred thirty-one thousand, one hundred one".