Search a number
-
+
1007205665021 = 7329694647133
BaseRepresentation
bin11101010100000100010…
…00101100100011111101
310120021202220011010122022
432222002020230203331
5113000224122240041
62050412012525525
7132524331615533
oct16520210544375
93507686133568
101007205665021
11359176381756
121432531808a5
1373c9609045a
1436a6b41c153
151b2ee15824b
hexea8222c8fd

1007205665021 has 8 divisors (see below), whose sum is σ = 1021347110520. Its totient is φ = 993073519872.

The previous prime is 1007205664931. The next prime is 1007205665023. The reversal of 1007205665021 is 1205665027001.

It can be written as a sum of positive squares in 4 ways, for example, as 37888622500 + 969317042521 = 194650^2 + 984539^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-1007205665021 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1007205665023) 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 in 7 ways as a sum of consecutive naturals, for example, 2106830 + ... + 2540303.

It is an arithmetic number, because the mean of its divisors is an integer number (127668388815).

Almost surely, 21007205665021 is an apocalyptic number.

It is an amenable number.

1007205665021 is a deficient number, since it is larger than the sum of its proper divisors (14141445499).

1007205665021 is an equidigital number, since it uses as much as digits as its factorization.

1007205665021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4650175.

The product of its (nonzero) digits is 25200, while the sum is 35.

The spelling of 1007205665021 in words is "one trillion, seven billion, two hundred five million, six hundred sixty-five thousand, twenty-one".

Divisors: 1 73 2969 216737 4647133 339240709 13797337877 1007205665021