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10323003313 = 7217232692003
BaseRepresentation
bin10011001110100110…
…01000011110110001
3222122102112220101001
421213103020132301
5132120142101223
64424201442001
7513546036400
oct114723103661
928572486331
1010323003313
1144180801a7
1220011a0301
13c868b06ac
146dd003637
154064129ad
hex2674c87b1

10323003313 has 48 divisors (see below), whose sum is σ = 13323553920. Its totient is φ = 7932148224.

The previous prime is 10323003311. The next prime is 10323003337. The reversal of 10323003313 is 31330032301.

10323003313 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 10323003313 - 21 = 10323003311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10323003311) 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 47 ways as a sum of consecutive naturals, for example, 5152770 + ... + 5154772.

It is an arithmetic number, because the mean of its divisors is an integer number (277574040).

Almost surely, 210323003313 is an apocalyptic number.

It is an amenable number.

10323003313 is a deficient number, since it is larger than the sum of its proper divisors (3000550607).

10323003313 is a wasteful number, since it uses less digits than its factorization.

10323003313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2326 (or 2319 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 19.

Adding to 10323003313 its reverse (31330032301), we get a palindrome (41653035614).

The spelling of 10323003313 in words is "ten billion, three hundred twenty-three million, three thousand, three hundred thirteen".

Divisors: 1 7 17 23 49 119 161 269 391 833 1127 1883 2003 2737 4573 6187 13181 14021 19159 32011 34051 43309 46069 98147 105179 224077 238357 303163 322483 538807 736253 783173 1668499 2257381 3771649 5153771 5482211 9159719 12392561 26401543 38375477 64118033 86747927 210673537 448826231 607235489 1474714759 10323003313