Search a number
-
+
212133000029 is a prime number
BaseRepresentation
bin1100010110010000011…
…1001011001101011101
3202021112220122221120212
43011210013023031131
511433422022000104
6241241430222205
721216565514636
oct3054407131535
9667486587525
10212133000029
1181a68603755
1235142ab4965
1317008bacb32
14a3a564088d
1557b871736e
hex31641cb35d

212133000029 has 2 divisors, whose sum is σ = 212133000030. Its totient is φ = 212133000028.

The previous prime is 212133000019. The next prime is 212133000067. The reversal of 212133000029 is 920000331212.

212133000029 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., 197600697529 + 14532302500 = 444523^2 + 120550^2 .

It is a cyclic number.

It is not a de Polignac number, because 212133000029 - 212 = 212132995933 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 212132999968 and 212133000013.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (212133000019) 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, 106066500014 + 106066500015.

It is an arithmetic number, because the mean of its divisors is an integer number (106066500015).

Almost surely, 2212133000029 is an apocalyptic number.

It is an amenable number.

212133000029 is a deficient number, since it is larger than the sum of its proper divisors (1).

212133000029 is an equidigital number, since it uses as much as digits as its factorization.

212133000029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 648, while the sum is 23.

The spelling of 212133000029 in words is "two hundred twelve billion, one hundred thirty-three million, twenty-nine", and thus it is an aban number.