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131122110143004 = 223312823131248539
BaseRepresentation
bin11101110100000100111110…
…110011000001101000011100
3122012021011002022012200202220
4131310010332303001220130
5114141301040144034004
61142512355452345340
736422155060433361
oct3564047663015034
9565234068180686
10131122110143004
1138863635913982
1212858415475250
1358219b9c678c6
1424544b5cb8468
151025bc1182dd9
hex77413ecc1a1c

131122110143004 has 48 divisors (see below), whose sum is σ = 315822368117760. Its totient is φ = 42297271182720.

The previous prime is 131122110142999. The next prime is 131122110143009. The reversal of 131122110143004 is 400341011221131.

It is an interprime number because it is at equal distance from previous prime (131122110142999) and next prime (131122110143009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131122110143009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 104396167 + ... + 105644705.

It is an arithmetic number, because the mean of its divisors is an integer number (6579632669120).

Almost surely, 2131122110143004 is an apocalyptic number.

It is an amenable number.

131122110143004 is an abundant number, since it is smaller than the sum of its proper divisors (184700257974756).

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

131122110143004 is a wasteful number, since it uses less digits than its factorization.

131122110143004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1530890 (or 1530888 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

Adding to 131122110143004 its reverse (400341011221131), we get a palindrome (531463121364135).

The spelling of 131122110143004 in words is "one hundred thirty-one trillion, one hundred twenty-two billion, one hundred ten million, one hundred forty-three thousand, four".

Divisors: 1 2 3 4 6 12 31 62 93 124 186 372 282313 564626 846939 1129252 1248539 1693878 2497078 3387756 3745617 4994156 7491234 8751703 14982468 17503406 26255109 35006812 38704709 52510218 77409418 105020436 116114127 154818836 232228254 464456508 352478790707 704957581414 1057436372121 1409915162828 2114872744242 4229745488484 10926842511917 21853685023834 32780527535751 43707370047668 65561055071502 131122110143004