Search a number
-
+
131012224204224 = 26311157395110211
BaseRepresentation
bin11101110010011110101001…
…000101011011110111000000
3122011212122110011102121222110
4131302132221011123313000
5114133001013344013344
61142350103535335320
736411215022401046
oct3562365105336700
9564778404377873
10131012224204224
1138820a77099740
121283b068981540
13581452729575c
14244d04dd06396
151022dde0bb3b9
hex7727a915bdc0

131012224204224 has 112 divisors (see below), whose sum is σ = 380557512671616. Its totient is φ = 39447803366400.

The previous prime is 131012224204201. The next prime is 131012224204237. The reversal of 131012224204224 is 422402422210131.

It is a junction number, because it is equal to n+sod(n) for n = 131012224204191 and 131012224204200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 197223522 + ... + 197886689.

It is an arithmetic number, because the mean of its divisors is an integer number (3397834934568).

Almost surely, 2131012224204224 is an apocalyptic number.

It is an amenable number.

131012224204224 is an abundant number, since it is smaller than the sum of its proper divisors (249545288467392).

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

131012224204224 is a wasteful number, since it uses less digits than its factorization.

131012224204224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395110394 (or 395110384 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 131012224204224 its reverse (422402422210131), we get a palindrome (553414646414355).

The spelling of 131012224204224 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 157 176 192 264 314 352 471 528 628 704 942 1056 1256 1727 1884 2112 2512 3454 3768 5024 5181 6908 7536 10048 10362 13816 15072 20724 27632 30144 41448 55264 82896 110528 165792 331584 395110211 790220422 1185330633 1580440844 2370661266 3160881688 4346212321 4741322532 6321763376 8692424642 9482645064 12643526752 13038636963 17384849284 18965290128 25287053504 26077273926 34769698568 37930580256 52154547852 62032303127 69539397136 75861160512 104309095704 124064606254 139078794272 186096909381 208618191408 248129212508 278157588544 372193818762 417236382816 496258425016 682355334397 744387637524 834472765632 992516850032 1364710668794 1488775275048 1985033700064 2047066003191 2729421337588 2977550550096 3970067400128 4094132006382 5458842675176 5955101100192 8188264012764 10917685350352 11910202200384 16376528025528 21835370700704 32753056051056 43670741401408 65506112102112 131012224204224