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128258013 = 31317193451
BaseRepresentation
bin1111010010100…
…00111111011101
322221100011220210
413221100333131
5230313224023
620421003033
73115114032
oct751207735
9287304823
10128258013
1166442164
1236b53479
1320758920
1413069389
15b3d7593
hex7a50fdd

128258013 has 16 divisors (see below), whose sum is σ = 194999616. Its totient is φ = 74284800.

The previous prime is 128258003. The next prime is 128258029. The reversal of 128258013 is 310852821.

It is not a de Polignac number, because 128258013 - 226 = 61149149 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (128258003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 96063 + ... + 97388.

It is an arithmetic number, because the mean of its divisors is an integer number (12187476).

Almost surely, 2128258013 is an apocalyptic number.

128258013 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

128258013 is a deficient number, since it is larger than the sum of its proper divisors (66741603).

128258013 is a wasteful number, since it uses less digits than its factorization.

128258013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193484.

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 128258013 is about 11325.1054299728. The cubic root of 128258013 is about 504.3068135336.

It can be divided in two parts, 1282 and 58013, that added together give a palindrome (59295).

The spelling of 128258013 in words is "one hundred twenty-eight million, two hundred fifty-eight thousand, thirteen".

Divisors: 1 3 13 17 39 51 221 663 193451 580353 2514863 3288667 7544589 9866001 42752671 128258013