Search a number
-
+
212134214401 is a prime number
BaseRepresentation
bin1100010110010000101…
…1110011101100000001
3202021112222221122101121
43011210023303230001
511433422324330101
6241241512232241
721216612033244
oct3054413635401
9667488848347
10212134214401
1181a6926306a
123514339b681
13170092167b5
14a3a587925b
1557b88a70a1
hex31642f3b01

212134214401 has 2 divisors, whose sum is σ = 212134214402. Its totient is φ = 212134214400.

The previous prime is 212134214359. The next prime is 212134214431. The reversal of 212134214401 is 104412431212.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 173056832001 + 39077382400 = 416001^2 + 197680^2 .

It is a cyclic number.

It is not a de Polignac number, because 212134214401 - 227 = 211999996673 is a prime.

It is not a weakly prime, because it can be changed into another prime (212134214431) 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, 106067107200 + 106067107201.

It is an arithmetic number, because the mean of its divisors is an integer number (106067107201).

Almost surely, 2212134214401 is an apocalyptic number.

It is an amenable number.

212134214401 is a deficient number, since it is larger than the sum of its proper divisors (1).

212134214401 is an equidigital number, since it uses as much as digits as its factorization.

212134214401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 212134214401 its reverse (104412431212), we get a palindrome (316546645613).

The spelling of 212134214401 in words is "two hundred twelve billion, one hundred thirty-four million, two hundred fourteen thousand, four hundred one".