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1132765306137 = 32315362975707
BaseRepresentation
bin10000011110111110000…
…100101101110100011001
311000021212100202202222200
4100132332010231310121
5122024400404244022
62224215111440413
7144560660143263
oct20367604556431
94007770682880
101132765306137
113a74485364a3
12163654986109
1382a86040c9a
143cb7cca4b33
151e6ec25ebac
hex107be12dd19

1132765306137 has 24 divisors (see below), whose sum is σ = 1689051536640. Its totient is φ = 730793046240.

The previous prime is 1132765306133. The next prime is 1132765306147. The reversal of 1132765306137 is 7316035672311.

1132765306137 is a `hidden beast` number, since 1 + 1 + 3 + 27 + 6 + 5 + 3 + 0 + 613 + 7 = 666.

It is not a de Polignac number, because 1132765306137 - 22 = 1132765306133 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1132765306092 and 1132765306101.

It is not an unprimeable number, because it can be changed into a prime (1132765306133) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14924638 + ... + 15000344.

It is an arithmetic number, because the mean of its divisors is an integer number (70377147360).

Almost surely, 21132765306137 is an apocalyptic number.

It is an amenable number.

1132765306137 is a deficient number, since it is larger than the sum of its proper divisors (556286230503).

1132765306137 is a wasteful number, since it uses less digits than its factorization.

1132765306137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129373 (or 129370 counting only the distinct ones).

The product of its (nonzero) digits is 476280, while the sum is 45.

The spelling of 1132765306137 in words is "one trillion, one hundred thirty-two billion, seven hundred sixty-five million, three hundred six thousand, one hundred thirty-seven".

Divisors: 1 3 9 31 93 279 53629 75707 160887 227121 482661 681363 1662499 2346917 4987497 7040751 14962491 21122253 4060090703 12180272109 36540816327 125862811793 377588435379 1132765306137