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1343135400305 = 537113199732173
BaseRepresentation
bin10011100010111001000…
…110111100000101110001
311202101212102012211100212
4103202321012330011301
5134001220130302210
62505010004553505
7166016101350056
oct23427106740561
94671772184325
101343135400305
11478690a10956
121983853b2895
139987091aa4a
144901832702d
1524e10ce9805
hex138b91bc171

1343135400305 has 32 divisors (see below), whose sum is σ = 1670860682784. Its totient is φ = 1035664551936.

The previous prime is 1343135400301. The next prime is 1343135400311. The reversal of 1343135400305 is 5030045313431.

It can be written as a sum of positive squares in 16 ways, for example, as 858876683536 + 484258716769 = 926756^2 + 695887^2 .

It is a cyclic number.

It is not a de Polignac number, because 1343135400305 - 22 = 1343135400301 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1343135400301) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41731199 + ... + 41763371.

It is an arithmetic number, because the mean of its divisors is an integer number (52214396337).

Almost surely, 21343135400305 is an apocalyptic number.

It is an amenable number.

1343135400305 is a deficient number, since it is larger than the sum of its proper divisors (327725282479).

1343135400305 is a wasteful number, since it uses less digits than its factorization.

1343135400305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34325.

The product of its (nonzero) digits is 32400, while the sum is 32.

The spelling of 1343135400305 in words is "one trillion, three hundred forty-three billion, one hundred thirty-five million, four hundred thousand, three hundred five".

Divisors: 1 5 37 113 185 565 1997 4181 9985 20905 32173 73889 160865 225661 369445 1128305 1190401 3635549 5952005 8349457 18177745 41747285 64249481 134515313 321247405 672576565 2377230797 7260191353 11886153985 36300956765 268627080061 1343135400305