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10117216715 = 5171031995807
BaseRepresentation
bin10010110110000100…
…00111100111001011
3222010002022212020012
421123002013213023
5131210001413330
64351531022135
7505466631434
oct113302074713
928102285205
1010117216715
1143219a5731
121b6429a94b
13c5307b588
146bd95648b
153e3313c95
hex25b0879cb

10117216715 has 32 divisors (see below), whose sum is σ = 13047091200. Its totient is φ = 7504510464.

The previous prime is 10117216709. The next prime is 10117216717. The reversal of 10117216715 is 51761271101.

10117216715 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10117216715 - 218 = 10116954571 is a prime.

It is a super-3 number, since 3×101172167153 (a number of 31 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (10117216717) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1739342 + ... + 1745148.

It is an arithmetic number, because the mean of its divisors is an integer number (407721600).

Almost surely, 210117216715 is an apocalyptic number.

10117216715 is a deficient number, since it is larger than the sum of its proper divisors (2929874485).

10117216715 is a wasteful number, since it uses less digits than its factorization.

10117216715 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6131.

The product of its (nonzero) digits is 2940, while the sum is 32.

Adding to 10117216715 its reverse (51761271101), we get a palindrome (61878487816).

The spelling of 10117216715 in words is "ten billion, one hundred seventeen million, two hundred sixteen thousand, seven hundred fifteen".

Divisors: 1 5 17 85 103 199 515 995 1751 3383 5807 8755 16915 20497 29035 98719 102485 348449 493595 598121 1155593 1742245 2990605 5777965 10168057 19645081 50840285 98225405 119026079 595130395 2023443343 10117216715