Search a number
-
+
20133130301129 is a prime number
BaseRepresentation
bin1001001001111100111000…
…00101000110111011001001
32122021201010110121112011102
410210332130011012323021
510114330122324114004
6110453010554311145
74145366510635406
oct444763405067311
978251113545142
1020133130301129
11646245a20479a
122311b287284b5
13b30713862651
144d863d36b2ad
1524da9792b11e
hex124f9c146ec9

20133130301129 has 2 divisors, whose sum is σ = 20133130301130. Its totient is φ = 20133130301128.

The previous prime is 20133130301087. The next prime is 20133130301159. The reversal of 20133130301129 is 92110303133102.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 16459468078729 + 3673662222400 = 4057027^2 + 1916680^2 .

It is a cyclic number.

It is not a de Polignac number, because 20133130301129 - 28 = 20133130300873 is a prime.

It is not a weakly prime, because it can be changed into another prime (20133130301159) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10066565150564 + 10066565150565.

It is an arithmetic number, because the mean of its divisors is an integer number (10066565150565).

Almost surely, 220133130301129 is an apocalyptic number.

It is an amenable number.

20133130301129 is a deficient number, since it is larger than the sum of its proper divisors (1).

20133130301129 is an equidigital number, since it uses as much as digits as its factorization.

20133130301129 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2916, while the sum is 29.

The spelling of 20133130301129 in words is "twenty trillion, one hundred thirty-three billion, one hundred thirty million, three hundred one thousand, one hundred twenty-nine".