Search a number
-
+
1001213142353 is a prime number
BaseRepresentation
bin11101001000111001111…
…01000010010101010001
310112201022021011102221022
432210130331002111101
5112400441031023403
62043541224205225
7132222665202134
oct16443475022521
93481267142838
101001213142353
11356680798786
12142060309815
137354c711c58
143665d5d821b
151b09ceead38
hexe91cf42551

1001213142353 has 2 divisors, whose sum is σ = 1001213142354. Its totient is φ = 1001213142352.

The previous prime is 1001213142287. The next prime is 1001213142403. The reversal of 1001213142353 is 3532413121001.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 857563046209 + 143650096144 = 926047^2 + 379012^2 .

It is an emirp because it is prime and its reverse (3532413121001) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 1001213142353 - 216 = 1001213076817 is a prime.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (1001213142253) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 500606571176 + 500606571177.

It is an arithmetic number, because the mean of its divisors is an integer number (500606571177).

Almost surely, 21001213142353 is an apocalyptic number.

It is an amenable number.

1001213142353 is a deficient number, since it is larger than the sum of its proper divisors (1).

1001213142353 is an equidigital number, since it uses as much as digits as its factorization.

1001213142353 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2160, while the sum is 26.

Adding to 1001213142353 its reverse (3532413121001), we get a palindrome (4533626263354).

The spelling of 1001213142353 in words is "one trillion, one billion, two hundred thirteen million, one hundred forty-two thousand, three hundred fifty-three".