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313020221031 = 32710614682917
BaseRepresentation
bin1001000111000010111…
…01011000011001100111
31002220221220202210020200
410203201131120121213
520112031134033111
6355444405401543
731420634656410
oct4434135303147
91086856683220
10313020221031
11110829833051
12507b9a092b3
13236964604cb
1411216452807
1582207a7256
hex48e1758667

313020221031 has 24 divisors (see below), whose sum is σ = 517218927264. Its totient is φ = 178700074560.

The previous prime is 313020221011. The next prime is 313020221039. The reversal of 313020221031 is 130122020313.

It is not a de Polignac number, because 313020221031 - 29 = 313020220519 is a prime.

It is a super-2 number, since 2×3130202210312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313020220995 and 313020221013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313020221039) 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 23 ways as a sum of consecutive naturals, for example, 2274616 + ... + 2408301.

It is an arithmetic number, because the mean of its divisors is an integer number (21550788636).

Almost surely, 2313020221031 is an apocalyptic number.

313020221031 is a deficient number, since it is larger than the sum of its proper divisors (204198706233).

313020221031 is a wasteful number, since it uses less digits than its factorization.

313020221031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4683991 (or 4683988 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 313020221031 its reverse (130122020313), we get a palindrome (443142241344).

The spelling of 313020221031 in words is "three hundred thirteen billion, twenty million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 3 7 9 21 63 1061 3183 7427 9549 22281 66843 4682917 14048751 32780419 42146253 98341257 295023771 4968574937 14905724811 34780024559 44717174433 104340073677 313020221031