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10312337717 = 1117202927179
BaseRepresentation
bin10011001101010100…
…11100100100110101
3222121200111000220222
421212222130210311
5132104424301332
64423141104125
7513356265353
oct114652344465
928550430828
1010312337717
114412055a60
121bb96b8045
13c84617ba6
146db8287d3
15405507712
hex266a9c935

10312337717 has 16 divisors (see below), whose sum is σ = 11917886400. Its totient is φ = 8818717440.

The previous prime is 10312337699. The next prime is 10312337731. The reversal of 10312337717 is 71773321301.

10312337717 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 10312337717 - 212 = 10312333621 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 (10312337617) 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 15 ways as a sum of consecutive naturals, for example, 365834 + ... + 393012.

It is an arithmetic number, because the mean of its divisors is an integer number (744867900).

Almost surely, 210312337717 is an apocalyptic number.

10312337717 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

It is an amenable number.

10312337717 is a deficient number, since it is larger than the sum of its proper divisors (1605548683).

10312337717 is a wasteful number, since it uses less digits than its factorization.

10312337717 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29236.

The product of its (nonzero) digits is 18522, while the sum is 35.

The spelling of 10312337717 in words is "ten billion, three hundred twelve million, three hundred thirty-seven thousand, seven hundred seventeen".

Divisors: 1 11 17 187 2029 22319 27179 34493 298969 379423 462043 5082473 55146191 606608101 937485247 10312337717