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131201321131432 = 23192381197147657
BaseRepresentation
bin11101110101001110110000…
…001000111101110110101000
3122012112201112122122211101001
4131311032300020331312220
5114144100301202201212
61143013015503004344
736430661021635606
oct3565166010756650
9565481478584331
10131201321131432
1138894193404982
121286b840b996b4
135829301796266
14245826bd48876
151027caa24a657
hex7753b023dda8

131201321131432 has 128 divisors (see below), whose sum is σ = 270826154726400. Its totient is φ = 59310217612800.

The previous prime is 131201321131427. The next prime is 131201321131469. The reversal of 131201321131432 is 234131123102131.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 131201321131432.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2753009748 + ... + 2753057404.

It is an arithmetic number, because the mean of its divisors is an integer number (2115829333800).

Almost surely, 2131201321131432 is an apocalyptic number.

It is an amenable number.

131201321131432 is an abundant number, since it is smaller than the sum of its proper divisors (139624833594968).

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

131201321131432 is a wasteful number, since it uses less digits than its factorization.

131201321131432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49487 (or 49483 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 28.

Adding to 131201321131432 its reverse (234131123102131), we get a palindrome (365332444233563).

The spelling of 131201321131432 in words is "one hundred thirty-one trillion, two hundred one billion, three hundred twenty-one million, one hundred thirty-one thousand, four hundred thirty-two".

Divisors: 1 2 4 8 19 23 38 46 76 92 152 184 437 811 874 971 1622 1748 1942 3244 3496 3884 6488 7768 15409 18449 18653 22333 30818 36898 37306 44666 47657 61636 73796 74612 89332 95314 123272 147592 149224 178664 190628 354407 381256 424327 708814 787481 848654 905483 1096111 1417628 1574962 1697308 1810966 2192222 2835256 3149924 3394616 3621932 4384444 6299848 7243864 8768888 14962139 18112063 20826109 29924278 36224126 38649827 41652218 46274947 59848556 72448252 77299654 83304436 92549894 119697112 144896504 154599308 166608872 185099788 309198616 344129197 370199576 688258394 734346713 879223993 888946021 1064323781 1376516788 1468693426 1758447986 1777892042 2128647562 2753033576 2937386852 3516895972 3555784084 4257295124 5874773704 7033791944 7111568168 8514590248 16889974399 20222151839 33779948798 37528982017 40444303678 67559897596 75057964034 80888607356 135119795192 150115928068 161777214712 300231856136 713050658323 863166586391 1426101316646 1726333172782 2852202633292 3452666345564 5704405266584 6905332691128 16400165141429 32800330282858 65600660565716 131201321131432