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10314302661 = 32132921114407
BaseRepresentation
bin10011001101100011…
…11100010011000101
3222121211011212022200
421212301330103011
5132110430141121
64423251145113
7513412061145
oct114661742305
928554155280
1010314302661
114413178283
121bba2a5199
13c84b55390
146dbbba925
15405794a26
hex266c7c4c5

10314302661 has 48 divisors (see below), whose sum is σ = 16677548160. Its totient is φ = 6098924160.

The previous prime is 10314302659. The next prime is 10314302767. The reversal of 10314302661 is 16620341301.

10314302661 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 10314302661 - 21 = 10314302659 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10314302461) 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, 708720 + ... + 723126.

It is an arithmetic number, because the mean of its divisors is an integer number (347448920).

Almost surely, 210314302661 is an apocalyptic number.

It is an amenable number.

10314302661 is a deficient number, since it is larger than the sum of its proper divisors (6363245499).

10314302661 is a wasteful number, since it uses less digits than its factorization.

10314302661 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14666 (or 14663 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 10314302661 its reverse (16620341301), we get a palindrome (26934643962).

The spelling of 10314302661 in words is "ten billion, three hundred fourteen million, three hundred two thousand, six hundred sixty-one".

Divisors: 1 3 9 13 29 39 87 117 211 261 377 633 1131 1899 2743 3393 6119 8229 14407 18357 24687 43221 55071 79547 129663 187291 238641 417803 561873 715923 1253409 1685619 3039877 3760227 5431439 9119631 16294317 27358893 39518401 48882951 88156433 118555203 264469299 355665609 793407897 1146033629 3438100887 10314302661