Search a number
-
+
142122105 = 32518117449
BaseRepresentation
bin10000111100010…
…01110001111001
3100220102112212200
420132021301321
5242340401410
622034100413
73344006106
oct1036116171
9326375780
10142122105
1173251494
123b71a709
13235a1228
1414c37aad
15c7253c0
hex8789c79

142122105 has 24 divisors (see below), whose sum is σ = 247720200. Its totient is φ = 75375360.

The previous prime is 142122061. The next prime is 142122107. The reversal of 142122105 is 501221241.

142122105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 15492096 + 126630009 = 3936^2 + 11253^2 .

It is not a de Polignac number, because 142122105 - 27 = 142121977 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (142122107) 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, 580 + ... + 16869.

It is an arithmetic number, because the mean of its divisors is an integer number (10321675).

Almost surely, 2142122105 is an apocalyptic number.

142122105 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

142122105 is a deficient number, since it is larger than the sum of its proper divisors (105598095).

142122105 is a wasteful number, since it uses less digits than its factorization.

142122105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17641 (or 17638 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 142122105 is about 11921.4975988757. The cubic root of 142122105 is about 521.8598403810.

Adding to 142122105 its reverse (501221241), we get a palindrome (643343346).

The spelling of 142122105 in words is "one hundred forty-two million, one hundred twenty-two thousand, one hundred five".

Divisors: 1 3 5 9 15 45 181 543 905 1629 2715 8145 17449 52347 87245 157041 261735 785205 3158269 9474807 15791345 28424421 47374035 142122105