Search a number
-
+
20122121012069 is a prime number
BaseRepresentation
bin1001001001101000010111…
…11000000000001101100101
32122020122201012200200201202
410210310023320000031211
510114140100434341234
6110443550315132245
74144526626343636
oct444641370001545
978218635620652
1020122121012069
11645881a80199a
12230b975744085
13b2c67aa34c1b
144d7cb715d88d
1524d65115477e
hex124d0be00365

20122121012069 has 2 divisors, whose sum is σ = 20122121012070. Its totient is φ = 20122121012068.

The previous prime is 20122121011991. The next prime is 20122121012083. The reversal of 20122121012069 is 96021012122102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 19175903740900 + 946217271169 = 4379030^2 + 972737^2 .

It is a cyclic number.

It is not a de Polignac number, because 20122121012069 - 28 = 20122121011813 is a prime.

It is a super-2 number, since 2×201221210120692 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20122121012089) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10061060506034 + 10061060506035.

It is an arithmetic number, because the mean of its divisors is an integer number (10061060506035).

Almost surely, 220122121012069 is an apocalyptic number.

It is an amenable number.

20122121012069 is a deficient number, since it is larger than the sum of its proper divisors (1).

20122121012069 is an equidigital number, since it uses as much as digits as its factorization.

20122121012069 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 1728, while the sum is 29.

The spelling of 20122121012069 in words is "twenty trillion, one hundred twenty-two billion, one hundred twenty-one million, twelve thousand, sixty-nine".