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10305344325 = 352178397381
BaseRepresentation
bin10011001100011111…
…10001001101000101
3222121012022201210110
421212033301031011
5132101132004300
64422331143233
7513242660433
oct114617611505
928535281713
1010305344325
1144091097a1
121bb72a4b19
13c830399a3
146da927d53
15404ac5550
hex2663f1345

10305344325 has 48 divisors (see below), whose sum is σ = 18257956416. Its totient is φ = 5110502400.

The previous prime is 10305344299. The next prime is 10305344333. The reversal of 10305344325 is 52344350301.

10305344325 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 10305344325 - 27 = 10305344197 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10305344292 and 10305344301.

It is a congruent number.

It is an unprimeable number.

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, 57135 + ... + 154515.

It is an arithmetic number, because the mean of its divisors is an integer number (380374092).

Almost surely, 210305344325 is an apocalyptic number.

10305344325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10305344325 is a deficient number, since it is larger than the sum of its proper divisors (7952612091).

10305344325 is a wasteful number, since it uses less digits than its factorization.

10305344325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97494 (or 97489 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 30.

Adding to 10305344325 its reverse (52344350301), we get a palindrome (62649694626).

The spelling of 10305344325 in words is "ten billion, three hundred five million, three hundred forty-four thousand, three hundred twenty-five".

Divisors: 1 3 5 15 17 25 51 75 83 85 249 255 415 425 1245 1275 1411 2075 4233 6225 7055 21165 35275 97381 105825 292143 486905 1460715 1655477 2434525 4966431 7303575 8082623 8277385 24247869 24832155 40413115 41386925 121239345 124160775 137404591 202065575 412213773 606196725 687022955 2061068865 3435114775 10305344325