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130285341953 = 1337326868497
BaseRepresentation
bin111100101010110011…
…1001000110100000001
3110110021210212010012022
41321111213020310001
54113311021420303
6135504031011225
712261410064044
oct1712547106401
9413253763168
10130285341953
1150287751828
1221300369b15
13c39403c820
14643d344c5b
1535c7e29438
hex1e559c8d01

130285341953 has 8 divisors (see below), whose sum is σ = 140683455528. Its totient is φ = 119940966144.

The previous prime is 130285341937. The next prime is 130285341961. The reversal of 130285341953 is 359143582031.

It can be written as a sum of positive squares in 4 ways, for example, as 32749055089 + 97536286864 = 180967^2 + 312308^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 130285341953 - 24 = 130285341937 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (130285341973) 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 7 ways as a sum of consecutive naturals, for example, 13429400 + ... + 13439097.

It is an arithmetic number, because the mean of its divisors is an integer number (17585431941).

Almost surely, 2130285341953 is an apocalyptic number.

130285341953 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

130285341953 is a deficient number, since it is larger than the sum of its proper divisors (10398113575).

130285341953 is a wasteful number, since it uses less digits than its factorization.

130285341953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26868883.

The product of its (nonzero) digits is 388800, while the sum is 44.

The spelling of 130285341953 in words is "one hundred thirty billion, two hundred eighty-five million, three hundred forty-one thousand, nine hundred fifty-three".

Divisors: 1 13 373 4849 26868497 349290461 10021949381 130285341953