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313001320031 = 6711174182329
BaseRepresentation
bin1001000111000000101…
…01010001111001011111
31002220220121012111221122
410203200111101321133
520112011314220111
6355442452321155
731420315215431
oct4434025217137
91086817174848
10313001320031
1111081a0a3494
12507b36131bb
132369257339a
1411213b32651
15821dcc1cdb
hex48e0551e5f

313001320031 has 8 divisors (see below), whose sum is σ = 317957455920. Its totient is φ = 308053551168.

The previous prime is 313001319997. The next prime is 313001320057. The reversal of 313001320031 is 130023100313.

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

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-313001320031 is a prime.

It is a super-2 number, since 2×3130013200312 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 313001319991 and 313001320009.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313001320231) 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 7 ways as a sum of consecutive naturals, for example, 2016326 + ... + 2166003.

It is an arithmetic number, because the mean of its divisors is an integer number (39744681990).

Almost surely, 2313001320031 is an apocalyptic number.

313001320031 is a deficient number, since it is larger than the sum of its proper divisors (4956135889).

313001320031 is a wasteful number, since it uses less digits than its factorization.

313001320031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4183513.

The product of its (nonzero) digits is 162, while the sum is 17.

Adding to 313001320031 its reverse (130023100313), we get a palindrome (443024420344).

The spelling of 313001320031 in words is "three hundred thirteen billion, one million, three hundred twenty thousand, thirty-one".

Divisors: 1 67 1117 74839 4182329 280216043 4671661493 313001320031