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2142113535 = 325291716319
BaseRepresentation
bin111111110101110…
…0000111011111111
312112021202122100100
41333223200323333
513341340113120
6552320532143
7104040443652
oct17753407377
95467678310
102142113535
119aa192671
124b9481053
13281a44703
141646cd899
15c80d5490
hex7fae0eff

2142113535 has 24 divisors (see below), whose sum is σ = 3714497280. Its totient is φ = 1141998912.

The previous prime is 2142113521. The next prime is 2142113539. The reversal of 2142113535 is 5353112412.

2142113535 is a `hidden beast` number, since 2 + 14 + 2 + 113 + 535 = 666.

It is not a de Polignac number, because 2142113535 - 28 = 2142113279 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 2142113499 and 2142113508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2142113539) 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 23 ways as a sum of consecutive naturals, for example, 123106 + ... + 139424.

It is an arithmetic number, because the mean of its divisors is an integer number (154770720).

Almost surely, 22142113535 is an apocalyptic number.

2142113535 is a deficient number, since it is larger than the sum of its proper divisors (1572383745).

2142113535 is a wasteful number, since it uses less digits than its factorization.

2142113535 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19247 (or 19244 counting only the distinct ones).

The product of its digits is 3600, while the sum is 27.

The square root of 2142113535 is about 46282.9724088676. The cubic root of 2142113535 is about 1289.0828436635.

Adding to 2142113535 its reverse (5353112412), we get a palindrome (7495225947).

The spelling of 2142113535 in words is "two billion, one hundred forty-two million, one hundred thirteen thousand, five hundred thirty-five".

Divisors: 1 3 5 9 15 45 2917 8751 14585 16319 26253 43755 48957 81595 131265 146871 244785 734355 47602523 142807569 238012615 428422707 714037845 2142113535