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104306391225 = 345271772
BaseRepresentation
bin110000100100100100…
…1010011100010111001
3100222020021212200110000
41201021021103202321
53202104414004400
6115530115543213
710351544460651
oct1411111234271
9328207780400
10104306391225
1140266269613
121826bbbab09
139ab3a5902a
145096d6d361
152aa7332600
hex18492538b9

104306391225 has 45 divisors (see below), whose sum is σ = 193238417757. Its totient is φ = 55622324160.

The previous prime is 104306391187. The next prime is 104306391227. The reversal of 104306391225 is 522193603401.

The square root of 104306391225 is 322965.

It is a perfect power (a square), and thus also a powerful number.

104306391225 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 0 + 639 + 12 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 14572594089 + 89733797136 = 120717^2 + 299556^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is a de Polignac number, because none of the positive numbers 2k-104306391225 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 104306391225.

It is not an unprimeable number, because it can be changed into a prime (104306391227) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 14529837 + ... + 14537013.

Almost surely, 2104306391225 is an apocalyptic number.

104306391225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

104306391225 is the 322965-th square number.

104306391225 is the 161483-rd centered octagonal number.

It is an amenable number.

104306391225 is a deficient number, since it is larger than the sum of its proper divisors (88932026532).

104306391225 is an frugal number, since it uses more digits than its factorization.

104306391225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14376 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

Multiplying 104306391225 by its sum of digits (36), we get a square (3755030084100 = 19377902).

Adding to 104306391225 its reverse (522193603401), we get a palindrome (626499994626).

The spelling of 104306391225 in words is "one hundred four billion, three hundred six million, three hundred ninety-one thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 7177 21531 35885 64593 107655 179425 193779 322965 538275 581337 968895 1614825 2906685 4844475 14533425 51509329 154527987 257546645 463583961 772639935 1287733225 1390751883 2317919805 3863199675 4172255649 6953759415 11589599025 20861278245 34768797075 104306391225