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1353315043041 = 3131371481317099
BaseRepresentation
bin10011101100010111110…
…111001100011011100001
311210101010212000020222220
4103230113313030123201
5134133042122334131
62513412050021253
7166526260031553
oct23542767143341
94711125006886
101353315043041
11481a35074135
1219a346577829
139a8038b55a0
144970228d4d3
152530983ee96
hex13b17dcc6e1

1353315043041 has 32 divisors (see below), whose sum is σ = 1957652323200. Its totient is φ = 826626200064.

The previous prime is 1353315043007. The next prime is 1353315043099. The reversal of 1353315043041 is 1403405133531.

It is not a de Polignac number, because 1353315043041 - 227 = 1353180825313 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1353315042993 and 1353315043011.

It is not an unprimeable number, because it can be changed into a prime (1353315042041) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79137310 + ... + 79154408.

It is an arithmetic number, because the mean of its divisors is an integer number (61176635100).

Almost surely, 21353315043041 is an apocalyptic number.

It is an amenable number.

1353315043041 is a deficient number, since it is larger than the sum of its proper divisors (604337280159).

1353315043041 is a wasteful number, since it uses less digits than its factorization.

1353315043041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32065.

The product of its (nonzero) digits is 32400, while the sum is 33.

The spelling of 1353315043041 in words is "one trillion, three hundred fifty-three billion, three hundred fifteen million, forty-three thousand, forty-one".

Divisors: 1 3 13 39 137 411 1781 5343 14813 17099 44439 51297 192569 222287 577707 666861 2029381 2342563 6088143 7027689 26381953 30453319 79145859 91359957 253287487 759862461 3292737331 9878211993 34700385719 104101157157 451105014347 1353315043041