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131342240011220 = 2257343344217319
BaseRepresentation
bin11101110111010001111111…
…100011110101001111010100
3122020001012021112101122012222
4131313101333203311033110
5114203402401420324340
61143201443031401512
736444110101436000
oct3567217743651724
9566035245348188
10131342240011220
1138938a27445aa7
121289300a523298
13583969b8321b4
142460dd9609700
15102b7a69778b5
hex77747f8f53d4

131342240011220 has 96 divisors (see below), whose sum is σ = 322397323584000. Its totient is φ = 44927624996352.

The previous prime is 131342240011217. The next prime is 131342240011243. The reversal of 131342240011220 is 22110042243131.

It is a happy number.

It is a super-2 number, since 2×1313422400112202 (a number of 29 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 131342240011220.

It is a congruent number.

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, 19138280 + ... + 25079039.

It is an arithmetic number, because the mean of its divisors is an integer number (3358305454000).

Almost surely, 2131342240011220 is an apocalyptic number.

131342240011220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131342240011220 is an abundant number, since it is smaller than the sum of its proper divisors (191055083572780).

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

131342240011220 is a wasteful number, since it uses less digits than its factorization.

131342240011220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44217782 (or 44217766 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 131342240011220 its reverse (22110042243131), we get a palindrome (153452282254351).

The spelling of 131342240011220 in words is "one hundred thirty-one trillion, three hundred forty-two billion, two hundred forty million, eleven thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 49 70 98 140 196 245 343 433 490 686 866 980 1372 1715 1732 2165 3031 3430 4330 6062 6860 8660 12124 15155 21217 30310 42434 60620 84868 106085 148519 212170 297038 424340 594076 742595 1485190 2970380 44217319 88434638 176869276 221086595 309521233 442173190 619042466 884346380 1238084932 1547606165 2166648631 3095212330 4333297262 6190424660 8666594524 10833243155 15166540417 19146099127 21666486310 30333080834 38292198254 43332972620 60666161668 75832702085 76584396508 95730495635 134022693889 151665404170 191460991270 268045387778 303330808340 382921982540 536090775556 670113469445 938158857223 1340226938890 1876317714446 2680453877780 3752635428892 4690794286115 6567112000561 9381588572230 13134224001122 18763177144460 26268448002244 32835560002805 65671120005610 131342240011220