Search a number
-
+
20110400000081 is a prime number
BaseRepresentation
bin1001001001010010100010…
…01111111001000001010001
32122012112110100112120222122
410210221101033321001101
510113442044400000311
6110434331253144025
74143633313364216
oct444512117710121
978175410476878
1020110400000081
116453855583126
12230964432b015
13b2b530622281
144d74c4605b0d
1524d1b71420db
hex124a513f9051

20110400000081 has 2 divisors, whose sum is σ = 20110400000082. Its totient is φ = 20110400000080.

The previous prime is 20110399999979. The next prime is 20110400000137. The reversal of 20110400000081 is 18000000401102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 13526146639681 + 6584253360400 = 3677791^2 + 2565980^2 .

It is a cyclic number.

It is not a de Polignac number, because 20110400000081 - 222 = 20110395805777 is a prime.

It is a super-2 number, since 2×201104000000812 (a number of 27 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (20110400000381) 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, 10055200000040 + 10055200000041.

It is an arithmetic number, because the mean of its divisors is an integer number (10055200000041).

Almost surely, 220110400000081 is an apocalyptic number.

It is an amenable number.

20110400000081 is a deficient number, since it is larger than the sum of its proper divisors (1).

20110400000081 is an equidigital number, since it uses as much as digits as its factorization.

20110400000081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 64, while the sum is 17.

Adding to 20110400000081 its reverse (18000000401102), we get a palindrome (38110400401183).

The spelling of 20110400000081 in words is "twenty trillion, one hundred ten billion, four hundred million, eighty-one", and thus it is an aban number.