Search a number
-
+
21133154432981 is a prime number
BaseRepresentation
bin1001100111000011100100…
…01010011011011111010101
32202211022100212102222022202
410303201302022123133111
510232221200013323411
6112540234230134245
74310551160542613
oct463416212333725
982738325388282
1021133154432981
11680857a812268
1224538b67b1385
13ba3b03b2a196
14530bc8a966b3
15269ac635c83b
hex13387229b7d5

21133154432981 has 2 divisors, whose sum is σ = 21133154432982. Its totient is φ = 21133154432980.

The previous prime is 21133154432909. The next prime is 21133154432983. The reversal of 21133154432981 is 18923445133112.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20387401288081 + 745753144900 = 4515241^2 + 863570^2 .

It is a cyclic number.

It is not a de Polignac number, because 21133154432981 - 230 = 21132080691157 is a prime.

It is a super-3 number, since 3×211331544329813 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

Together with 21133154432983, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21133154432983) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10566577216490 + 10566577216491.

It is an arithmetic number, because the mean of its divisors is an integer number (10566577216491).

Almost surely, 221133154432981 is an apocalyptic number.

It is an amenable number.

21133154432981 is a deficient number, since it is larger than the sum of its proper divisors (1).

21133154432981 is an equidigital number, since it uses as much as digits as its factorization.

21133154432981 is an evil number, because the sum of its binary digits is even.

The product of its digits is 622080, while the sum is 47.

The spelling of 21133154432981 in words is "twenty-one trillion, one hundred thirty-three billion, one hundred fifty-four million, four hundred thirty-two thousand, nine hundred eighty-one".