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102403200025 = 52724122232
BaseRepresentation
bin101111101011110110…
…1001101010000011001
3100210022122200112221001
41133113231031100121
53134210204400100
6115013211545001
710253434560400
oct1372755152031
9323278615831
10102403200025
113a479a33925
1217a1a75b161
13986c678aa9
144d562b4637
1529e51e3d6a
hex17d7b4d419

102403200025 has 81 divisors (see below), whose sum is σ = 152083956573. Its totient is φ = 68199465600.

The previous prime is 102403200019. The next prime is 102403200037. The reversal of 102403200025 is 520002304201.

The square root of 102403200025 is 320005.

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

It can be written as a sum of positive squares in 4 ways, for example, as 43103157769 + 59300042256 = 207613^2 + 243516^2 .

It is not a de Polignac number, because 102403200025 - 219 = 102402675737 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 102403199975 and 102403200011.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 459207064 + ... + 459207286.

Almost surely, 2102403200025 is an apocalyptic number.

102403200025 is the 320005-th square number.

102403200025 is the 160003-rd centered octagonal number.

It is an amenable number.

102403200025 is a deficient number, since it is larger than the sum of its proper divisors (49680756548).

102403200025 is an frugal number, since it uses more digits than its factorization.

102403200025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 276 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 19.

Adding to 102403200025 its reverse (520002304201), we get a palindrome (622405504226).

The spelling of 102403200025 in words is "one hundred two billion, four hundred three million, two hundred thousand, twenty-five".

Divisors: 1 5 7 25 35 41 49 175 205 223 245 287 1025 1115 1225 1435 1561 1681 2009 5575 7175 7805 8405 9143 10045 10927 11767 39025 42025 45715 49729 50225 54635 58835 64001 82369 228575 248645 273175 294175 320005 348103 374863 411845 448007 1243225 1600025 1740515 1874315 2038889 2059225 2240035 2436721 2624041 8702575 9371575 10194445 11200175 12183605 13120205 14272223 18368287 50972225 60918025 65601025 71361115 83594449 91841435 99905561 356805575 417972245 459207175 499527805 585161143 2089861225 2497639025 2925805715 4096128001 14629028575 20480640005 102403200025