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1142134530141 = 311167207246331
BaseRepresentation
bin10000100111101100100…
…001011110000001011101
311001012001022121200010010
4100213230201132001131
5122203042414431031
62232404522433433
7145342105216203
oct20475441360135
94035038550103
101142134530141
11400416192130
1216542a662879
138391a148607
143d3cb34d073
151ea99a71246
hex109ec85e05d

1142134530141 has 16 divisors (see below), whose sum is σ = 1671234421248. Its totient is φ = 688057815600.

The previous prime is 1142134530139. The next prime is 1142134530157. The reversal of 1142134530141 is 1410354312411.

It is a happy number.

It is not a de Polignac number, because 1142134530141 - 21 = 1142134530139 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1142134530099 and 1142134530108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1142134530181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103617655 + ... + 103628676.

It is an arithmetic number, because the mean of its divisors is an integer number (104452151328).

Almost surely, 21142134530141 is an apocalyptic number.

1142134530141 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

1142134530141 is a deficient number, since it is larger than the sum of its proper divisors (529099891107).

1142134530141 is a wasteful number, since it uses less digits than its factorization.

1142134530141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207246512.

The product of its (nonzero) digits is 5760, while the sum is 30.

Adding to 1142134530141 its reverse (1410354312411), we get a palindrome (2552488842552).

The spelling of 1142134530141 in words is "one trillion, one hundred forty-two billion, one hundred thirty-four million, five hundred thirty thousand, one hundred forty-one".

Divisors: 1 3 11 33 167 501 1837 5511 207246331 621738993 2279709641 6839128923 34610137277 103830411831 380711510047 1142134530141