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313202311331 = 71323216169247
BaseRepresentation
bin1001000111011000101…
…00000000000010100011
31002221102121101221011212
410203230110000002203
520112414242430311
6355514432300335
731425305502050
oct4435424000243
91087377357155
10313202311331
111109125a31a8
125084a9a16ab
13236c50b6950
14112326d2027
158231774c8b
hex48ec5000a3

313202311331 has 32 divisors (see below), whose sum is σ = 402431705088. Its totient is φ = 236921034240.

The previous prime is 313202311327. The next prime is 313202311337. The reversal of 313202311331 is 133113202313.

It is a cyclic number.

It is not a de Polignac number, because 313202311331 - 22 = 313202311327 is a prime.

It is a super-2 number, since 2×3132023113312 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a junction number, because it is equal to n+sod(n) for n = 313202311297 and 313202311306.

It is not an unprimeable number, because it can be changed into a prime (313202311337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4488350 + ... + 4557596.

It is an arithmetic number, because the mean of its divisors is an integer number (12575990784).

Almost surely, 2313202311331 is an apocalyptic number.

313202311331 is a deficient number, since it is larger than the sum of its proper divisors (89229393757).

313202311331 is a wasteful number, since it uses less digits than its factorization.

313202311331 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71451.

The product of its (nonzero) digits is 972, while the sum is 23.

Adding to 313202311331 its reverse (133113202313), we get a palindrome (446315513644).

The spelling of 313202311331 in words is "three hundred thirteen billion, two hundred two million, three hundred eleven thousand, three hundred thirty-one".

Divisors: 1 7 13 23 91 161 299 2093 2161 15127 28093 49703 69247 196651 347921 484729 646139 900211 1592681 4522973 6301477 11148767 20704853 144933971 149642767 1047499369 1945355971 3441783641 13617491797 24092485487 44743187333 313202311331