Search a number
-
+
1035141121 = 7221125329
BaseRepresentation
bin111101101100110…
…000000000000001
32200010210121200001
4331230300000001
54104444003441
6250414400001
734436361100
oct7554600001
92603717601
101035141121
11491345933
1224a800001
131365c2251
149b698037
1560d23731
hex3db30001

1035141121 has 6 divisors (see below), whose sum is σ = 1204143810. Its totient is φ = 887263776.

The previous prime is 1035141091. The next prime is 1035141127. The reversal of 1035141121 is 1211415301.

It can be written as a sum of positive squares in only one way, i.e., 1026497521 + 8643600 = 32039^2 + 2940^2 .

It is not a de Polignac number, because 1035141121 - 213 = 1035132929 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1035141127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10562616 + ... + 10562713.

It is an arithmetic number, because the mean of its divisors is an integer number (200690635).

It is a Proth number, since it is equal to 15795 ⋅ 216 + 1 and 15795 < 216.

Almost surely, 21035141121 is an apocalyptic number.

It is an amenable number.

1035141121 is a deficient number, since it is larger than the sum of its proper divisors (169002689).

1035141121 is an equidigital number, since it uses as much as digits as its factorization.

1035141121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21125343 (or 21125336 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 19.

The square root of 1035141121 is about 32173.6090763843. The cubic root of 1035141121 is about 1011.5791136342.

Adding to 1035141121 its reverse (1211415301), we get a palindrome (2246556422).

The spelling of 1035141121 in words is "one billion, thirty-five million, one hundred forty-one thousand, one hundred twenty-one".

Divisors: 1 7 49 21125329 147877303 1035141121