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1031320231301 = 9740126514133
BaseRepresentation
bin11110000000111110111…
…10011101110110000101
310122121000110222000201202
433000133132131312011
5113344120434400201
62105440523432245
7134340035216513
oct17003736356605
93577013860652
101031320231301
11368420425278
12147a63085685
137633a030399
1437cb7d5b4b3
151bc61229c6b
hexf01f79dd85

1031320231301 has 8 divisors (see below), whose sum is σ = 1044550823064. Its totient is φ = 1018142668800.

The previous prime is 1031320231297. The next prime is 1031320231397.

1031320231301 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 384983020900 + 646337210401 = 620470^2 + 803951^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 1031320231301 - 22 = 1031320231297 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 (1031320231001) 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 7 ways as a sum of consecutive naturals, for example, 13218170 + ... + 13295963.

It is an arithmetic number, because the mean of its divisors is an integer number (130568852883).

Almost surely, 21031320231301 is an apocalyptic number.

It is an amenable number.

1031320231301 is a deficient number, since it is larger than the sum of its proper divisors (13230591763).

1031320231301 is an equidigital number, since it uses as much as digits as its factorization.

1031320231301 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26514631.

The product of its (nonzero) digits is 324, while the sum is 20.

It can be divided in two parts, 1031320 and 231301, that added together give a palindrome (1262621).

The spelling of 1031320231301 in words is "one trillion, thirty-one billion, three hundred twenty million, two hundred thirty-one thousand, three hundred one".

Divisors: 1 97 401 38897 26514133 2571870901 10632167333 1031320231301