Search a number
-
+
1005153113533 = 1020199852607
BaseRepresentation
bin11101010000001111100…
…10110101010110111101
310120002110211220201022211
432220013302311112331
5112432023144113113
62045432211340421
7132422426331442
oct16500762652675
93502424821284
101005153113533
11358312801408
1214297b8b1711
1373a29a7654a
14369149a39c9
151b22dd64b3d
hexea07cb55bd

1005153113533 has 4 divisors (see below), whose sum is σ = 1005163068160. Its totient is φ = 1005143158908.

The previous prime is 1005153113521. The next prime is 1005153113537. The reversal of 1005153113533 is 3353113515001.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4.

It is a cyclic number.

It is not a de Polignac number, because 1005153113533 - 29 = 1005153113021 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1005153113495 and 1005153113504.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1005153113537) 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 in 3 ways as a sum of consecutive naturals, for example, 4824285 + ... + 5028322.

It is an arithmetic number, because the mean of its divisors is an integer number (251290767040).

Almost surely, 21005153113533 is an apocalyptic number.

It is an amenable number.

1005153113533 is a deficient number, since it is larger than the sum of its proper divisors (9954627).

1005153113533 is an equidigital number, since it uses as much as digits as its factorization.

1005153113533 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9954626.

The product of its (nonzero) digits is 10125, while the sum is 31.

Adding to 1005153113533 its reverse (3353113515001), we get a palindrome (4358266628534).

The spelling of 1005153113533 in words is "one trillion, five billion, one hundred fifty-three million, one hundred thirteen thousand, five hundred thirty-three".

Divisors: 1 102019 9852607 1005153113533