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1031312131001 = 9137112872073
BaseRepresentation
bin11110000000111101111…
…11100100001110111001
310122120222220201111012122
433000132333210032321
5113344111401143001
62105440034051025
7134336606321465
oct17003677441671
93576886644178
101031312131001
113684168a2409
12147a60419a75
13763384553c9
1437cb6c4d4a5
151bc60679b1b
hexf01efe43b9

1031312131001 has 4 divisors (see below), whose sum is σ = 1031425012212. Its totient is φ = 1031199249792.

The previous prime is 1031312130983. The next prime is 1031312131013. The reversal of 1031312131001 is 1001312131301.

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 20380417600 + 1010931713401 = 142760^2 + 1005451^2 .

It is a cyclic number.

It is not a de Polignac number, because 1031312131001 - 210 = 1031312129977 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1031312131061) 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, 56426900 + ... + 56445173.

It is an arithmetic number, because the mean of its divisors is an integer number (257856253053).

Almost surely, 21031312131001 is an apocalyptic number.

It is an amenable number.

1031312131001 is a deficient number, since it is larger than the sum of its proper divisors (112881211).

1031312131001 is an equidigital number, since it uses as much as digits as its factorization.

1031312131001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112881210.

The product of its (nonzero) digits is 54, while the sum is 17.

Adding to 1031312131001 its reverse (1001312131301), we get a palindrome (2032624262302).

The spelling of 1031312131001 in words is "one trillion, thirty-one billion, three hundred twelve million, one hundred thirty-one thousand, one".

Divisors: 1 9137 112872073 1031312131001