Search a number
-
+
106657289135 = 535360429059
BaseRepresentation
bin110001101010101000…
…1010001001110101111
3101012022010111200002222
41203111101101032233
53221413231223020
6120555255505555
710464031666505
oct1432521211657
9335263450088
10106657289135
1141262293a51
12188073882bb
13a099b12197
14523b28a675
152b93909b25
hex18d54513af

106657289135 has 8 divisors (see below), whose sum is σ = 128351323440. Its totient is φ = 85084113664.

The previous prime is 106657289131. The next prime is 106657289161. The reversal of 106657289135 is 531982756601.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 106657289135 - 22 = 106657289131 is a prime.

It is a super-2 number, since 2×1066572891352 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (106657289131) 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 7 ways as a sum of consecutive naturals, for example, 30212765 + ... + 30216294.

It is an arithmetic number, because the mean of its divisors is an integer number (16043915430).

Almost surely, 2106657289135 is an apocalyptic number.

106657289135 is a deficient number, since it is larger than the sum of its proper divisors (21694034305).

106657289135 is an equidigital number, since it uses as much as digits as its factorization.

106657289135 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60429417.

The product of its (nonzero) digits is 2721600, while the sum is 53.

The spelling of 106657289135 in words is "one hundred six billion, six hundred fifty-seven million, two hundred eighty-nine thousand, one hundred thirty-five".

Divisors: 1 5 353 1765 60429059 302145295 21331457827 106657289135