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313332221031 = 3316121550427
BaseRepresentation
bin1001000111101000000…
…11100100010001100111
31002221202122212000210020
410203310003210101213
520113201022033111
6355535352530223
731431443635404
oct4436403442147
91087678760706
10313332221031
11110979963295
12508863b0973
1323715ca02ab
1411245a6b2ab
15823cd86906
hex48f40e4467

313332221031 has 16 divisors (see below), whose sum is σ = 431324187648. Its totient is φ = 202116427200.

The previous prime is 313332221011. The next prime is 313332221039. The reversal of 313332221031 is 130122233313.

It is not a de Polignac number, because 313332221031 - 218 = 313331958887 is a prime.

It is a super-2 number, since 2×3133322210312 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 313332220992 and 313332221010.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (313332221039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 294040 + ... + 844466.

It is an arithmetic number, because the mean of its divisors is an integer number (26957761728).

Almost surely, 2313332221031 is an apocalyptic number.

313332221031 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

313332221031 is a deficient number, since it is larger than the sum of its proper divisors (117991966617).

313332221031 is a wasteful number, since it uses less digits than its factorization.

313332221031 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 556582.

The product of its (nonzero) digits is 1944, while the sum is 24.

Adding to 313332221031 its reverse (130122233313), we get a palindrome (443454454344).

The spelling of 313332221031 in words is "three hundred thirteen billion, three hundred thirty-two million, two hundred twenty-one thousand, thirty-one".

Divisors: 1 3 31 93 6121 18363 189751 550427 569253 1651281 17063237 51189711 3369163667 10107491001 104444073677 313332221031