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1030505025 = 352116120477
BaseRepresentation
bin111101011011000…
…100001001000001
32122211002002010210
4331123010021001
54102302130100
6250131144333
734352101554
oct7533041101
92584062123
101030505025
11489769750
122491450a9
1313565acb4
149ac0c69b
1560709c50
hex3d6c4241

1030505025 has 48 divisors (see below), whose sum is σ = 1889218368. Its totient is φ = 491424000.

The previous prime is 1030505017. The next prime is 1030505039. The reversal of 1030505025 is 5205050301.

It is not a de Polignac number, because 1030505025 - 23 = 1030505017 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1030504992 and 1030505010.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40087 + ... + 60563.

It is an arithmetic number, because the mean of its divisors is an integer number (39358716).

Almost surely, 21030505025 is an apocalyptic number.

1030505025 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1030505025 is a deficient number, since it is larger than the sum of its proper divisors (858713343).

1030505025 is a wasteful number, since it uses less digits than its factorization.

1030505025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20562 (or 20557 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 21.

The square root of 1030505025 is about 32101.4801060636. The cubic root of 1030505025 is about 1010.0666639003.

Adding to 1030505025 its reverse (5205050301), we get a palindrome (6235555326).

The spelling of 1030505025 in words is "one billion, thirty million, five hundred five thousand, twenty-five".

Divisors: 1 3 5 11 15 25 33 55 61 75 165 183 275 305 671 825 915 1525 2013 3355 4575 10065 16775 20477 50325 61431 102385 225247 307155 511925 675741 1126235 1249097 1535775 3378705 3747291 5631175 6245485 13740067 16893525 18736455 31227425 41220201 68700335 93682275 206101005 343501675 1030505025