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131012224204242 = 232331128930377823
BaseRepresentation
bin11101110010011110101001…
…000101011011110111010010
3122011212122110011102122000010
4131302132221011123313102
5114133001013344013432
61142350103535335350
736411215022401103
oct3562365105336722
9564778404378003
10131012224204242
1138820a77099757
121283b068981556
135814527295774
14244d04dd063aa
151022dde0bb3cc
hex7727a915bdd2

131012224204242 has 128 divisors (see below), whose sum is σ = 282584793415680. Its totient is φ = 40374706014720.

The previous prime is 131012224204237. The next prime is 131012224204297. The reversal of 131012224204242 is 242402422210131.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16747052743 + ... + 16747060565.

It is an arithmetic number, because the mean of its divisors is an integer number (2207693698560).

Almost surely, 2131012224204242 is an apocalyptic number.

131012224204242 is an abundant number, since it is smaller than the sum of its proper divisors (151572569211438).

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

131012224204242 is a wasteful number, since it uses less digits than its factorization.

131012224204242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12208.

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

Adding to 131012224204242 its reverse (242402422210131), we get a palindrome (373414646414373).

The spelling of 131012224204242 in words is "one hundred thirty-one trillion, twelve billion, two hundred twenty-four million, two hundred four thousand, two hundred forty-two".

Divisors: 1 2 3 6 23 31 46 62 69 93 138 186 713 1289 1426 2139 2578 3037 3867 4278 6074 7734 7823 9111 15646 18222 23469 29647 39959 46938 59294 69851 79918 88941 94147 119877 139702 177882 179929 188294 209553 239754 242513 282441 359858 419106 485026 539787 564882 727539 919057 1079574 1455078 1838114 2165381 2757171 3914693 4330762 5514342 5577799 6496143 7829386 10083847 11155598 11744079 12992286 16733397 20167694 23488158 23758451 30251541 33466794 47516902 60503082 71275353 90037939 121355483 142550706 180075878 231928481 242710966 270113817 312599257 364066449 463856962 540227634 546444373 625198514 695785443 728132898 736511981 937797771 1092888746 1391570886 1473023962 1639333119 1875595542 2209535943 2791176109 3278666238 4419071886 5582352218 7189782911 8373528327 14379565822 16747056654 16939775563 21569348733 30624643339 33879551126 43138697466 50819326689 61249286678 91873930017 101638653378 183747860034 704366796797 949363943509 1408733593594 1898727887018 2113100390391 2848091830527 4226200780782 5696183661054 21835370700707 43670741401414 65506112102121 131012224204242