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1306065605141 = 11295219113359
BaseRepresentation
bin10011000000010111100…
…100111001001000010101
311121212011221212010020102
4103000113210321020111
5132344310243331031
62435555342343445
7163234344320363
oct23002744711025
94555157763212
101306065605141
11463998a92100
1219115a88ab85
13962139534cb
14472dcd94633
1523e916bb7cb
hex13017939215

1306065605141 has 12 divisors (see below), whose sum is σ = 1435620513600. Its totient is φ = 1187309424840.

The previous prime is 1306065605137. The next prime is 1306065605147. The reversal of 1306065605141 is 1415065606031.

It is not a de Polignac number, because 1306065605141 - 22 = 1306065605137 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1306065605095 and 1306065605104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1306065605147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 11464820 + ... + 11578178.

It is an arithmetic number, because the mean of its divisors is an integer number (119635042800).

Almost surely, 21306065605141 is an apocalyptic number.

1306065605141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1306065605141 is a deficient number, since it is larger than the sum of its proper divisors (129554908459).

1306065605141 is a wasteful number, since it uses less digits than its factorization.

1306065605141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 208600 (or 208589 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 38.

The spelling of 1306065605141 in words is "one trillion, three hundred six billion, sixty-five million, six hundred five thousand, one hundred forty-one".

Divisors: 1 11 121 95219 113359 1047409 1246949 11521499 13716439 10793930621 118733236831 1306065605141