Search a number
-
+
20122010212229 is a prime number
BaseRepresentation
bin1001001001101000001010…
…10001010101011110000101
32122020122102111012110220222
410210310011101111132011
510114134334103242404
6110443531320234125
74144524112511222
oct444640521253605
978218374173828
1020122010212229
116458773204382
12230b94460b945
13b2c660aac7a3
144d7ca655a949
1524d646569dbe
hex124d05455785

20122010212229 has 2 divisors, whose sum is σ = 20122010212230. Its totient is φ = 20122010212228.

The previous prime is 20122010212177. The next prime is 20122010212259. The reversal of 20122010212229 is 92221201022102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20089462444129 + 32547768100 = 4482127^2 + 180410^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122010212229 - 220 = 20122009163653 is a prime.

It is a super-2 number, since 2×201220102122292 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 20122010212198 and 20122010212207.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20122010212259) 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, 10061005106114 + 10061005106115.

It is an arithmetic number, because the mean of its divisors is an integer number (10061005106115).

Almost surely, 220122010212229 is an apocalyptic number.

It is an amenable number.

20122010212229 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122010212229 is an equidigital number, since it uses as much as digits as its factorization.

20122010212229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 26.

The spelling of 20122010212229 in words is "twenty trillion, one hundred twenty-two billion, ten million, two hundred twelve thousand, two hundred twenty-nine".