Search a number
-
+
10117606371 = 313212553017
BaseRepresentation
bin10010110110000111…
…00110101111100011
3222010010001122201220
421123003212233203
5131210101400441
64351543230123
7505503143445
oct113303465743
928103048656
1010117606371
114322141464
121b64448343
13c53186a42
146bda18495
153e338e466
hex25b0e6be3

10117606371 has 8 divisors (see below), whose sum is σ = 13500359184. Its totient is φ = 6739962240.

The previous prime is 10117606361. The next prime is 10117606403. The reversal of 10117606371 is 17360671101.

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

It is not a de Polignac number, because 10117606371 - 217 = 10117475299 is a prime.

It is a Smith number, since the sum of its digits (33) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (10117606361) 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, 1272546 + ... + 1280471.

It is an arithmetic number, because the mean of its divisors is an integer number (1687544898).

Almost surely, 210117606371 is an apocalyptic number.

10117606371 is a deficient number, since it is larger than the sum of its proper divisors (3382752813).

10117606371 is a wasteful number, since it uses less digits than its factorization.

10117606371 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2554341.

The product of its (nonzero) digits is 5292, while the sum is 33.

The spelling of 10117606371 in words is "ten billion, one hundred seventeen million, six hundred six thousand, three hundred seventy-one".

Divisors: 1 3 1321 3963 2553017 7659051 3372535457 10117606371