Search a number
-
+
1035103322089 is a prime number
BaseRepresentation
bin11110001000000001111…
…01110011111111101001
310122221210010111221200101
433010000331303333221
5113424342422301324
62111304144305401
7134532553031644
oct17040075637751
93587703457611
101035103322089
11369a91927391
1214873a012261
13767c0a27145
143815656aa5b
151bdd3405944
hexf100f73fe9

1035103322089 has 2 divisors, whose sum is σ = 1035103322090. Its totient is φ = 1035103322088.

The previous prime is 1035103322069. The next prime is 1035103322159. The reversal of 1035103322089 is 9802233015301.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 550464576489 + 484638745600 = 741933^2 + 696160^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1035103322089 is a prime.

It is not a weakly prime, because it can be changed into another prime (1035103322069) 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, 517551661044 + 517551661045.

It is an arithmetic number, because the mean of its divisors is an integer number (517551661045).

Almost surely, 21035103322089 is an apocalyptic number.

It is an amenable number.

1035103322089 is a deficient number, since it is larger than the sum of its proper divisors (1).

1035103322089 is an equidigital number, since it uses as much as digits as its factorization.

1035103322089 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 38880, while the sum is 37.

The spelling of 1035103322089 in words is "one trillion, thirty-five billion, one hundred three million, three hundred twenty-two thousand, eighty-nine".