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131322512334 = 231323895772
BaseRepresentation
bin111101001001101101…
…1101000001111001110
3110112222002110211111010
41322103123220033032
54122422030343314
6140155001110050
712326202636306
oct1722333501716
9415862424433
10131322512334
115076a153232
122154b788326
13c4cab92600
1464dadaa606
153638eee059
hex1e936e83ce

131322512334 has 72 divisors (see below), whose sum is σ = 285628735080. Its totient is φ = 40233203712.

The previous prime is 131322512323. The next prime is 131322512359. The reversal of 131322512334 is 433215223131.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 227595054 + ... + 227595630.

It is an arithmetic number, because the mean of its divisors is an integer number (3967065765).

Almost surely, 2131322512334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131322512334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142814367540).

131322512334 is an abundant number, since it is smaller than the sum of its proper divisors (154306222746).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131322512334 is an equidigital number, since it uses as much as digits as its factorization.

131322512334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1574 (or 984 counting only the distinct ones).

The product of its digits is 12960, while the sum is 30.

Adding to 131322512334 its reverse (433215223131), we get a palindrome (564537735465).

The spelling of 131322512334 in words is "one hundred thirty-one billion, three hundred twenty-two million, five hundred twelve thousand, three hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 78 169 338 389 507 577 778 1014 1154 1167 1731 2334 3462 5057 7501 10114 15002 15171 22503 30342 45006 65741 97513 131482 195026 197223 224453 292539 332929 394446 448906 585078 665858 673359 998787 1346718 1997574 2917889 4328077 5835778 8656154 8753667 12984231 17507334 25968462 37932557 56265001 75865114 112530002 113797671 129509381 168795003 227595342 259018762 337590006 388528143 777056286 1683621953 3367243906 5050865859 10101731718 21887085389 43774170778 65661256167 131322512334