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131023340300040 = 23351133839629849
BaseRepresentation
bin11101110010101000111111…
…101001111110011100001000
3122011220201010212022210201220
4131302220333221332130020
5114133141300104100130
61142355142552042040
736412060341554466
oct3562507751763410
9564821125283656
10131023340300040
1138825760911a91
121284124b693320
1358155a927ac46
14244d7c6397836
15102333ee3e410
hex772a3fa7e708

131023340300040 has 64 divisors (see below), whose sum is σ = 393073528464000. Its totient is φ = 34939245629952.

The previous prime is 131023340299981. The next prime is 131023340300077. The reversal of 131023340300040 is 40003043320131.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 8791036 + ... + 18420884.

It is an arithmetic number, because the mean of its divisors is an integer number (6141773882250).

Almost surely, 2131023340300040 is an apocalyptic number.

131023340300040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131023340300040 is an abundant number, since it is smaller than the sum of its proper divisors (262050188163960).

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

131023340300040 is a wasteful number, since it uses less digits than its factorization.

131023340300040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9743246 (or 9743242 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 131023340300040 its reverse (40003043320131), we get a palindrome (171026383620171).

The spelling of 131023340300040 in words is "one hundred thirty-one trillion, twenty-three billion, three hundred forty million, three hundred thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 113383 226766 340149 453532 566915 680298 907064 1133830 1360596 1700745 2267660 2721192 3401490 4535320 6802980 9629849 13605960 19259698 28889547 38519396 48149245 57779094 77038792 96298490 115558188 144447735 192596980 231116376 288895470 385193960 577790940 1155581880 1091861169167 2183722338334 3275583507501 4367444676668 5459305845835 6551167015002 8734889353336 10918611691670 13102334030004 16377917537505 21837223383340 26204668060008 32755835075010 43674446766680 65511670150020 131023340300040