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1255116137 = 111716341177
BaseRepresentation
bin100101011001111…
…1000110101101001
310020110201111122212
41022303320311221
510032302204022
6324313254505
743050211502
oct11263706551
93213644585
101255116137
11594531370
122b0404435
13170051492
14bc999ba9
15752c63e2
hex4acf8d69

1255116137 has 16 divisors (see below), whose sum is σ = 1458689472. Its totient is φ = 1067281920.

The previous prime is 1255116133. The next prime is 1255116139. The reversal of 1255116137 is 7316115521.

It is a cyclic number.

It is not a de Polignac number, because 1255116137 - 22 = 1255116133 is a prime.

It is a Duffinian number.

1255116137 is a modest number, since divided by 16137 gives 12551 as remainder.

It is not an unprimeable number, because it can be changed into a prime (1255116131) 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 15 ways as a sum of consecutive naturals, for example, 9893 + ... + 51069.

It is an arithmetic number, because the mean of its divisors is an integer number (91168092).

Almost surely, 21255116137 is an apocalyptic number.

1255116137 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

1255116137 is a deficient number, since it is larger than the sum of its proper divisors (203573335).

1255116137 is a wasteful number, since it uses less digits than its factorization.

1255116137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41368.

The product of its digits is 6300, while the sum is 32.

The square root of 1255116137 is about 35427.6182800933. The cubic root of 1255116137 is about 1078.6849955839.

The spelling of 1255116137 in words is "one billion, two hundred fifty-five million, one hundred sixteen thousand, one hundred thirty-seven".

Divisors: 1 11 17 163 187 1793 2771 30481 41177 452947 700009 6711851 7700099 73830361 114101467 1255116137