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131223221313 = 3378918173387
BaseRepresentation
bin111101000110110000…
…0110111010001000001
3110112201011122022210220
41322031200313101001
54122221121040223
6140141053013253
712323555656152
oct1721540672101
9415634568726
10131223221313
11507190a6438
1221522484229
13c4b3439722
1464cbb21929
1536304396e3
hex1e8d837441

131223221313 has 32 divisors (see below), whose sum is σ = 182718506880. Its totient is φ = 83695265280.

The previous prime is 131223221299. The next prime is 131223221347. The reversal of 131223221313 is 313122322131.

It is not a de Polignac number, because 131223221313 - 230 = 130149479489 is a prime.

It is a super-3 number, since 3×1312232213133 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (131223221413) 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 31 ways as a sum of consecutive naturals, for example, 1751406 + ... + 1824792.

It is an arithmetic number, because the mean of its divisors is an integer number (5709953340).

Almost surely, 2131223221313 is an apocalyptic number.

It is an amenable number.

131223221313 is a deficient number, since it is larger than the sum of its proper divisors (51495285567).

131223221313 is a wasteful number, since it uses less digits than its factorization.

131223221313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73697.

The product of its digits is 1296, while the sum is 24.

Adding to 131223221313 its reverse (313122322131), we get a palindrome (444345543444).

It can be divided in two parts, 13122322131 and 3, that multiplied together give a palindrome (39366966393).

The spelling of 131223221313 in words is "one hundred thirty-one billion, two hundred twenty-three million, two hundred twenty-one thousand, three hundred thirteen".

Divisors: 1 3 37 89 111 181 267 543 3293 6697 9879 16109 20091 48327 73387 220161 596033 1788099 2715319 6531443 8145957 13283047 19594329 39849141 241663391 491472739 724990173 1182191183 1474418217 3546573549 43741073771 131223221313