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10240052025 = 352719504861
BaseRepresentation
bin10011000100101101…
…01100101100111001
3222102122110112121010
421202112230230321
5131432423131100
64412035504133
7511521002040
oct114226545471
928378415533
1010240052025
114385273715
121b99458049
13c72658ba8
146d1dad557
153edec9750
hex2625acb39

10240052025 has 24 divisors (see below), whose sum is σ = 19348823104. Its totient is φ = 4681166400.

The previous prime is 10240051981. The next prime is 10240052057. The reversal of 10240052025 is 52025004201.

It is a happy number.

10240052025 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 10240052025 - 26 = 10240051961 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10240051992 and 10240052010.

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 23 ways as a sum of consecutive naturals, for example, 9751906 + ... + 9752955.

Almost surely, 210240052025 is an apocalyptic number.

10240052025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10240052025 is a deficient number, since it is larger than the sum of its proper divisors (9108771079).

10240052025 is a wasteful number, since it uses less digits than its factorization.

10240052025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19504881 (or 19504876 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

Adding to 10240052025 its reverse (52025004201), we get a palindrome (62265056226).

The spelling of 10240052025 in words is "ten billion, two hundred forty million, fifty-two thousand, twenty-five".

Divisors: 1 3 5 7 15 21 25 35 75 105 175 525 19504861 58514583 97524305 136534027 292572915 409602081 487621525 682670135 1462864575 2048010405 3413350675 10240052025