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10253144025 = 345213138651
BaseRepresentation
bin10011000110010001…
…01000111111011001
3222110120002200110000
421203020220333121
5131444301102100
64413224243213
7512040200115
oct114310507731
928416080400
1010253144025
1143916a5953
121ba1910509
13c75290c37
146d3a1a745
15400213900
hex263228fd9

10253144025 has 60 divisors (see below), whose sum is σ = 19137842064. Its totient is φ = 5426460000.

The previous prime is 10253143937. The next prime is 10253144089. The reversal of 10253144025 is 52044135201.

10253144025 is a `hidden beast` number, since 1 + 0 + 253 + 1 + 4 + 402 + 5 = 666.

10253144025 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 10253144025 - 212 = 10253139929 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 10253144025.

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 59 ways as a sum of consecutive naturals, for example, 245950 + ... + 284600.

Almost surely, 210253144025 is an apocalyptic number.

10253144025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

10253144025 is a deficient number, since it is larger than the sum of its proper divisors (8884698039).

10253144025 is a wasteful number, since it uses less digits than its factorization.

10253144025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38804 (or 38790 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

Adding to 10253144025 its reverse (52044135201), we get a palindrome (62297279226).

The spelling of 10253144025 in words is "ten billion, two hundred fifty-three million, one hundred forty-four thousand, twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 131 135 225 393 405 655 675 1179 1965 2025 3275 3537 5895 9825 10611 17685 29475 38651 53055 88425 115953 193255 265275 347859 579765 966275 1043577 1739295 2898825 3130731 5063281 5217885 8696475 15189843 15653655 25316405 26089425 45569529 75949215 78268275 126582025 136708587 227847645 379746075 410125761 683542935 1139238225 2050628805 3417714675 10253144025