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10315348225 = 5271314930431
BaseRepresentation
bin10011001101101011…
…11011100100000001
3222121220010222120021
421212311323210001
5132111212120400
64423325413441
7513424004350
oct114665734401
928556128507
1010315348225
114413821886
121bba70a281
13c85130260
146dbdad997
154058ee71a
hex266d7b901

10315348225 has 48 divisors (see below), whose sum is σ = 15848985600. Its totient is φ = 6485241600.

The previous prime is 10315348201. The next prime is 10315348229. The reversal of 10315348225 is 52284351301.

10315348225 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 10315348225 - 233 = 1725413633 is a prime.

It is not an unprimeable number, because it can be changed into a prime (10315348229) 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, 323760 + ... + 354190.

It is an arithmetic number, because the mean of its divisors is an integer number (330187200).

Almost surely, 210315348225 is an apocalyptic number.

It is an amenable number.

10315348225 is a deficient number, since it is larger than the sum of its proper divisors (5533637375).

10315348225 is a wasteful number, since it uses less digits than its factorization.

10315348225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30610 (or 30605 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 34.

Adding to 10315348225 its reverse (52284351301), we get a palindrome (62599699526).

The spelling of 10315348225 in words is "ten billion, three hundred fifteen million, three hundred forty-eight thousand, two hundred twenty-five".

Divisors: 1 5 7 13 25 35 65 91 149 175 325 455 745 1043 1937 2275 3725 5215 9685 13559 26075 30431 48425 67795 152155 213017 338975 395603 760775 1065085 1978015 2769221 4534219 5325425 9890075 13846105 22671095 31739533 58944847 69230525 113355475 158697665 294724235 412613929 793488325 1473621175 2063069645 10315348225