Search a number
-
+
1020331200013 = 1642162135753
BaseRepresentation
bin11101101100100000111…
…10101000111000001101
310121112122122011101201221
432312100132220320031
5113204114241400023
62100422250403341
7133500521046436
oct16662036507015
93545578141657
101020331200013
113637a13a9434
121458b6a30551
13752a84764c8
143755470448d
151b81b60585d
hexed907a8e0d

1020331200013 has 4 divisors (see below), whose sum is σ = 1020393352188. Its totient is φ = 1020269047840.

The previous prime is 1020331199903. The next prime is 1020331200019. The reversal of 1020331200013 is 3100021330201.

1020331200013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It can be written as a sum of positive squares in 2 ways, for example, as 230513293924 + 789817906089 = 480118^2 + 888717^2 .

It is a cyclic number.

It is not a de Polignac number, because 1020331200013 - 217 = 1020331068941 is a prime.

It is a super-2 number, since 2×10203312000132 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1020331200013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1020331200019) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 31051456 + ... + 31084297.

It is an arithmetic number, because the mean of its divisors is an integer number (255098338047).

Almost surely, 21020331200013 is an apocalyptic number.

It is an amenable number.

1020331200013 is a deficient number, since it is larger than the sum of its proper divisors (62152175).

1020331200013 is an equidigital number, since it uses as much as digits as its factorization.

1020331200013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62152174.

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 1020331200013 its reverse (3100021330201), we get a palindrome (4120352530214).

The spelling of 1020331200013 in words is "one trillion, twenty billion, three hundred thirty-one million, two hundred thousand, thirteen".

Divisors: 1 16421 62135753 1020331200013