Search a number
-
+
10406145061021 is a prime number
BaseRepresentation
bin1001011101101101111010…
…0101000111000010011101
31100211211002010211001210211
42113123132211013002131
52330443241113423041
634044303403132421
72122550655403153
oct227333645070235
940754063731724
1010406145061021
113352248665746
121200944b14111
135a63ab922438
1427d9354a13d3
15130a4b07a481
hex976de94709d

10406145061021 has 2 divisors, whose sum is σ = 10406145061022. Its totient is φ = 10406145061020.

The previous prime is 10406145060979. The next prime is 10406145061057. The reversal of 10406145061021 is 12016054160401.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 6278181696900 + 4127963364121 = 2505630^2 + 2031739^2 .

It is a cyclic number.

It is not a de Polignac number, because 10406145061021 - 237 = 10268706107549 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10406145061621) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5203072530510 + 5203072530511.

It is an arithmetic number, because the mean of its divisors is an integer number (5203072530511).

Almost surely, 210406145061021 is an apocalyptic number.

It is an amenable number.

10406145061021 is a deficient number, since it is larger than the sum of its proper divisors (1).

10406145061021 is an equidigital number, since it uses as much as digits as its factorization.

10406145061021 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 5760, while the sum is 31.

The spelling of 10406145061021 in words is "ten trillion, four hundred six billion, one hundred forty-five million, sixty-one thousand, twenty-one".