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131041301224212 = 2232194494073104759
BaseRepresentation
bin11101110010111001101110…
…001101011101101100010100
3122011222102111120222021210200
4131302321232031131230110
5114133440041103133322
61142411313121020500
736413264414111061
oct3562715615355424
9564872446867720
10131041301224212
1138832338335175
1212844822784730
1358171ac379522
14245060b931c68
151023a41b798ac
hex772e6e35db14

131041301224212 has 144 divisors (see below), whose sum is σ = 349542844560000. Its totient is φ = 41278768570368.

The previous prime is 131041301224187. The next prime is 131041301224213. The reversal of 131041301224212 is 212422103140131.

131041301224212 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 413 + 0 + 1 + 2 + 242 + 1 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131041301224213) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1250831089 + ... + 1250935847.

It is an arithmetic number, because the mean of its divisors is an integer number (2427380865000).

Almost surely, 2131041301224212 is an apocalyptic number.

131041301224212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 131041301224212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174771422280000).

131041301224212 is an abundant number, since it is smaller than the sum of its proper divisors (218501543335788).

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

131041301224212 is a wasteful number, since it uses less digits than its factorization.

131041301224212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109310 (or 109305 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 131041301224212 its reverse (212422103140131), we get a palindrome (343463404364343).

The spelling of 131041301224212 in words is "one hundred thirty-one trillion, forty-one billion, three hundred one million, two hundred twenty-four thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 171 228 342 449 684 898 1347 1796 2694 4041 4073 5388 8082 8146 8531 12219 16164 16292 17062 24438 25593 34124 36657 48876 51186 73314 76779 77387 102372 104759 146628 153558 154774 209518 232161 307116 309548 314277 419036 464322 628554 696483 928644 942831 1257108 1392966 1828777 1885662 1990421 2785932 3657554 3771324 3980842 5486331 5971263 7315108 7961684 10972662 11942526 16458993 17913789 21945324 23885052 32917986 34746763 35827578 47036791 65835972 69493526 71655156 94073582 104240289 138987052 141110373 188147164 208480578 282220746 312720867 416961156 423331119 426683407 564441492 625441734 846662238 853366814 893699029 1250883468 1280050221 1693324476 1706733628 1787398058 2560100442 2681097087 3574796116 3840150663 5120200884 5362194174 7680301326 8043291261 8106984733 10724388348 15360602652 16086582522 16213969466 24320954199 32173165044 32427938932 48641908398 72962862597 97283816796 145925725194 191580849743 291851450388 383161699486 574742549229 766323398972 1149485098458 1724227647687 2298970196916 3448455295374 3640036145117 6896910590748 7280072290234 10920108435351 14560144580468 21840216870702 32760325306053 43680433741404 65520650612106 131041301224212