Search a number
-
+
517107006101 = 7163694512947
BaseRepresentation
bin1111000011001011111…
…10101011101010010101
31211102202002001122221002
413201211332223222111
531433013343143401
61033320005433045
752234252012610
oct7414576535225
91742662048832
10517107006101
1118a338473374
128427610b785
13399bc3688aa
141b0571d9177
15d6b78e5a6b
hex7865faba95

517107006101 has 8 divisors (see below), whose sum is σ = 591015670080. Its totient is φ = 443207400768.

The previous prime is 517107006089. The next prime is 517107006121. The reversal of 517107006101 is 101600701715.

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 517107006101 - 214 = 517106989717 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (517107006121) 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 7 ways as a sum of consecutive naturals, for example, 2141891 + ... + 2371056.

It is an arithmetic number, because the mean of its divisors is an integer number (73876958760).

Almost surely, 2517107006101 is an apocalyptic number.

It is an amenable number.

517107006101 is a deficient number, since it is larger than the sum of its proper divisors (73908663979).

517107006101 is a wasteful number, since it uses less digits than its factorization.

517107006101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529323.

The product of its (nonzero) digits is 1470, while the sum is 29.

Adding to 517107006101 its reverse (101600701715), we get a palindrome (618707707816).

The spelling of 517107006101 in words is "five hundred seventeen billion, one hundred seven million, six thousand, one hundred one".

Divisors: 1 7 16369 114583 4512947 31590629 73872429443 517107006101