Search a number
-
+
1021537642441 is a prime number
BaseRepresentation
bin11101101110110000110…
…00110110011111001001
310121122202201022000121211
432313120120312133021
5113214102114024231
62101142104533121
7133542440456341
oct16673030663711
93548681260554
101021537642441
11364260405498
12145b92a811a1
137543b3b5174
143762aa2dd21
151b88c4b4eb1
hexedd86367c9

1021537642441 has 2 divisors, whose sum is σ = 1021537642442. Its totient is φ = 1021537642440.

The previous prime is 1021537642439. The next prime is 1021537642451. The reversal of 1021537642441 is 1442467351201.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 606023325625 + 415514316816 = 778475^2 + 644604^2 .

It is a cyclic number.

It is not a de Polignac number, because 1021537642441 - 21 = 1021537642439 is a prime.

Together with 1021537642439, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 1021537642394 and 1021537642403.

It is not a weakly prime, because it can be changed into another prime (1021537642421) 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, 510768821220 + 510768821221.

It is an arithmetic number, because the mean of its divisors is an integer number (510768821221).

Almost surely, 21021537642441 is an apocalyptic number.

It is an amenable number.

1021537642441 is a deficient number, since it is larger than the sum of its proper divisors (1).

1021537642441 is an equidigital number, since it uses as much as digits as its factorization.

1021537642441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 161280, while the sum is 40.

The spelling of 1021537642441 in words is "one trillion, twenty-one billion, five hundred thirty-seven million, six hundred forty-two thousand, four hundred forty-one".