Search a number
-
+
21133000129 is a prime number
BaseRepresentation
bin10011101011100111…
…111111110111000001
32000112210110122020111
4103223213333313001
5321240022001004
613413001311321
71345460352163
oct235347776701
960483418214
1021133000129
118a6503386a
124119495541
131cba341007
141046974933
1583a46ea04
hex4eb9ffdc1

21133000129 has 2 divisors, whose sum is σ = 21133000130. Its totient is φ = 21133000128.

The previous prime is 21133000127. The next prime is 21133000151. The reversal of 21133000129 is 92100033112.

It is an a-pointer prime, because the next prime (21133000151) can be obtained adding 21133000129 to its sum of digits (22).

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 14156240400 + 6976759729 = 118980^2 + 83527^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133000129 - 21 = 21133000127 is a prime.

Together with 21133000127, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (21133000121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566500064 + 10566500065.

It is an arithmetic number, because the mean of its divisors is an integer number (10566500065).

Almost surely, 221133000129 is an apocalyptic number.

It is an amenable number.

21133000129 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133000129 is an equidigital number, since it uses as much as digits as its factorization.

21133000129 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 324, while the sum is 22.

The spelling of 21133000129 in words is "twenty-one billion, one hundred thirty-three million, one hundred twenty-nine", and thus it is an aban number.