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13010235225 = 35213113263449
BaseRepresentation
bin11000001110111100…
…00110111101011001
31020120201001102112220
430013132012331121
5203121110011400
65550554254253
7640256113641
oct140736067531
936521042486
1013010235225
115576a36319
122631127389
1312c4546650
148b5c71521
155122c47a0
hex307786f59

13010235225 has 96 divisors (see below), whose sum is σ = 23510995200. Its totient is φ = 6310133760.

The previous prime is 13010235197. The next prime is 13010235233. The reversal of 13010235225 is 52253201031.

It is a happy number.

It is not a de Polignac number, because 13010235225 - 25 = 13010235193 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 13010235195 and 13010235204.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 28975801 + ... + 28976249.

It is an arithmetic number, because the mean of its divisors is an integer number (244906200).

Almost surely, 213010235225 is an apocalyptic number.

13010235225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13010235225 is a deficient number, since it is larger than the sum of its proper divisors (10500759975).

13010235225 is a wasteful number, since it uses less digits than its factorization.

13010235225 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 851 (or 846 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

Adding to 13010235225 its reverse (52253201031), we get a palindrome (65263436256).

The spelling of 13010235225 in words is "thirteen billion, ten million, two hundred thirty-five thousand, two hundred twenty-five".

Divisors: 1 3 5 13 15 25 39 65 75 113 195 263 325 339 449 565 789 975 1315 1347 1469 1695 2245 2825 3419 3945 4407 5837 6575 6735 7345 8475 10257 11225 17095 17511 19725 22035 29185 29719 33675 36725 50737 51285 85475 87555 89157 110175 118087 145925 148595 152211 253685 256425 354261 386347 437775 445785 590435 659581 742975 761055 1159041 1268425 1535131 1771305 1931735 1978743 2228925 2952175 3297905 3805275 4605393 5795205 7675655 8856525 9658675 9893715 13343831 16489525 23026965 28976025 38378275 40031493 49468575 66719155 115134825 173469803 200157465 333595775 520409409 867349015 1000787325 2602047045 4336745075 13010235225