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10311011321 = 1341101191537
BaseRepresentation
bin10011001101001010…
…11000101111111001
3222121120222122110012
421212211120233321
5132104104330241
64423052431305
7513342102332
oct114645305771
928546878405
1010311011321
11441132a466
121bb9178535
13c84272240
146db5a1289
154053446eb
hex266958bf9

10311011321 has 16 divisors (see below), whose sum is σ = 11487683088. Its totient is φ = 9193728000.

The previous prime is 10311011317. The next prime is 10311011341. The reversal of 10311011321 is 12311011301.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 11806096 + 10299205225 = 3436^2 + 101485^2 .

It is a cyclic number.

It is not a de Polignac number, because 10311011321 - 22 = 10311011317 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10311011296 and 10311011305.

It is not an unprimeable number, because it can be changed into a prime (10311011311) 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 15 ways as a sum of consecutive naturals, for example, 41936 + ... + 149601.

It is an arithmetic number, because the mean of its divisors is an integer number (717980193).

Almost surely, 210311011321 is an apocalyptic number.

It is an amenable number.

10311011321 is a deficient number, since it is larger than the sum of its proper divisors (1176671767).

10311011321 is a wasteful number, since it uses less digits than its factorization.

10311011321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191692.

The product of its (nonzero) digits is 18, while the sum is 14.

Adding to 10311011321 its reverse (12311011301), we get a palindrome (22622022622).

The spelling of 10311011321 in words is "ten billion, three hundred eleven million, eleven thousand, three hundred twenty-one".

Divisors: 1 13 41 101 533 1313 4141 53833 191537 2489981 7853017 19345237 102089221 251488081 793154717 10311011321