Search a number
-
+
31043104311313 = 1731312433469241
BaseRepresentation
bin1110000111011110010010…
…01101001000100000010001
311001220200200022111002000201
413003233021031020200101
513032102234200430223
6150005001044415201
76352535030631313
oct703571115104021
9131820608432021
1031043104311313
119989341101026
1235944409a7501
131442476964833
147946cc39b7b3
1538c780822ead
hex1c3bc9348811

31043104311313 has 16 divisors (see below), whose sum is σ = 32976905018256. Its totient is φ = 29121289666560.

The previous prime is 31043104311283. The next prime is 31043104311337. The reversal of 31043104311313 is 31311340134013.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 20788737489 + 31022315573824 = 144183^2 + 5569768^2 .

It is a cyclic number.

It is not a de Polignac number, because 31043104311313 - 241 = 28844081055761 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (31043104371313) 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 15 ways as a sum of consecutive naturals, for example, 65921373 + ... + 66390613.

It is an arithmetic number, because the mean of its divisors is an integer number (2061056563641).

Almost surely, 231043104311313 is an apocalyptic number.

It is an amenable number.

31043104311313 is a deficient number, since it is larger than the sum of its proper divisors (1933800706943).

31043104311313 is a wasteful number, since it uses less digits than its factorization.

31043104311313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 482004.

The product of its (nonzero) digits is 3888, while the sum is 28.

Adding to 31043104311313 its reverse (31311340134013), we get a palindrome (62354444445326).

The spelling of 31043104311313 in words is "thirty-one trillion, forty-three billion, one hundred four million, three hundred eleven thousand, three hundred thirteen".

Divisors: 1 17 313 5321 12433 211361 469241 3891529 7977097 66155993 146872433 2496831361 5834073353 99179247001 1826064959489 31043104311313