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131110043112244 = 22729415281134609
BaseRepresentation
bin11101110011111001101111…
…100010111101001100110100
3122012012222221022222000111201
4131303321233202331030310
5114141101332014042434
61142503042230142244
736421250043400600
oct3563715742751464
9565188838860451
10131110043112244
113885950333a089
12128560081b1984
135820815c63c11
142453a8d40c500
151025716ac1614
hex773e6f8bd334

131110043112244 has 72 divisors (see below), whose sum is σ = 267238804097160. Its totient is φ = 56119259750400.

The previous prime is 131110043112241. The next prime is 131110043112271. The reversal of 131110043112244 is 442211340011131.

It can be written as a sum of positive squares in 4 ways, for example, as 16550739427600 + 114559303684644 = 4068260^2 + 10703238^2 .

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131110043112241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 973939212 + ... + 974073820.

It is an arithmetic number, because the mean of its divisors is an integer number (3711650056905).

Almost surely, 2131110043112244 is an apocalyptic number.

131110043112244 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

131110043112244 is an abundant number, since it is smaller than the sum of its proper divisors (136128760984916).

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

131110043112244 is a wasteful number, since it uses less digits than its factorization.

131110043112244 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140849 (or 140840 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 28.

Adding to 131110043112244 its reverse (442211340011131), we get a palindrome (573321383123375).

The spelling of 131110043112244 in words is "one hundred thirty-one trillion, one hundred ten billion, forty-three million, one hundred twelve thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 941 1882 3764 5281 6587 10562 13174 21124 26348 36967 46109 73934 92218 134609 147868 184436 258769 269218 517538 538436 942263 1035076 1884526 3769052 4969421 6595841 9938842 13191682 19877684 26383364 34785947 69571894 126667069 139143788 243501629 253334138 487003258 506668276 710870129 886669483 974006516 1421740258 1773338966 2843480516 3546677932 4976090903 6206686381 9952181806 12413372762 19904363612 24826745524 34832636321 69665272642 139330545284 668928791389 1337857582778 2675715165556 4682501539723 9365003079446 18730006158892 32777510778061 65555021556122 131110043112244