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10323111313 = 61811720849
BaseRepresentation
bin10011001110100111…
…00010110110010001
3222122102202101112001
421213103202312101
5132120204030223
64424204034001
7513546666304
oct114723426621
928572671461
1010323111313
114418144359
122001232901
13c8691a8b8
146dd030b3b
154064349ad
hex2674e2d91

10323111313 has 8 divisors (see below), whose sum is σ = 10494138600. Its totient is φ = 10152142080.

The previous prime is 10323111311. The next prime is 10323111361. The reversal of 10323111313 is 31311132301.

10323111313 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 3110515984 + 7212595329 = 55772^2 + 84927^2 .

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 10323111313 - 21 = 10323111311 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10323111311) 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 7 ways as a sum of consecutive naturals, for example, 484713 + ... + 505561.

It is an arithmetic number, because the mean of its divisors is an integer number (1311767325).

Almost surely, 210323111313 is an apocalyptic number.

It is an amenable number.

10323111313 is a deficient number, since it is larger than the sum of its proper divisors (171027287).

10323111313 is an equidigital number, since it uses as much as digits as its factorization.

10323111313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29027.

The product of its (nonzero) digits is 162, while the sum is 19.

Adding to 10323111313 its reverse (31311132301), we get a palindrome (41634243614).

It can be divided in two parts, 10 and 323111313, that added together give a palindrome (323111323).

The spelling of 10323111313 in words is "ten billion, three hundred twenty-three million, one hundred eleven thousand, three hundred thirteen".

Divisors: 1 61 8117 20849 495137 1271789 169231333 10323111313