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10118025 = 3252193233
BaseRepresentation
bin100110100110…
…001110001001
3201001001022200
4212212032021
510042234100
61000510413
7152000421
oct46461611
921031280
1010118025
115790905
12347b409
1321334c8
1414b5481
15d4ce00
hex9a6389

10118025 has 36 divisors (see below), whose sum is σ = 18294588. Its totient is φ = 5345280.

The previous prime is 10118011. The next prime is 10118063. The reversal of 10118025 is 52081101.

It can be written as a sum of positive squares in 6 ways, for example, as 1806336 + 8311689 = 1344^2 + 2883^2 .

It is not a de Polignac number, because 10118025 - 25 = 10117993 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 10117989 and 10118007.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43309 + ... + 43541.

It is an arithmetic number, because the mean of its divisors is an integer number (508183).

Almost surely, 210118025 is an apocalyptic number.

10118025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10118025 is a deficient number, since it is larger than the sum of its proper divisors (8176563).

10118025 is a wasteful number, since it uses less digits than its factorization.

10118025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 442 (or 434 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

The square root of 10118025 is about 3180.8843110054. The cubic root of 10118025 is about 216.2877466491.

Adding to 10118025 its reverse (52081101), we get a palindrome (62199126).

The spelling of 10118025 in words is "ten million, one hundred eighteen thousand, twenty-five".

Divisors: 1 3 5 9 15 25 45 75 193 225 233 579 699 965 1165 1737 2097 2895 3495 4825 5825 8685 10485 14475 17475 43425 44969 52425 134907 224845 404721 674535 1124225 2023605 3372675 10118025