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13200146730 = 2325349420253
BaseRepresentation
bin11000100101100101…
…00100000100101010
31021001221101221011100
430102302210010222
5204013214143410
610021500542230
7645053252541
oct142262440452
937057357140
1013200146730
115664158681
122684851976
1313249aaa14
148d3189158
15523cd98c0
hex312ca412a

13200146730 has 48 divisors (see below), whose sum is σ = 34418802600. Its totient is φ = 3509944704.

The previous prime is 13200146719. The next prime is 13200146731. The reversal of 13200146730 is 3764100231.

It can be written as a sum of positive squares in 4 ways, for example, as 11853330129 + 1346816601 = 108873^2 + 36699^2 .

It is a junction number, because it is equal to n+sod(n) for n = 13200146694 and 13200146703.

It is not an unprimeable number, because it can be changed into a prime (13200146731) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 178717 + ... + 241536.

Almost surely, 213200146730 is an apocalyptic number.

13200146730 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

13200146730 is an abundant number, since it is smaller than the sum of its proper divisors (21218655870).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13200146730 is a wasteful number, since it uses less digits than its factorization.

13200146730 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 420615 (or 420612 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 13200146730 its reverse (3764100231), we get a palindrome (16964246961).

The spelling of 13200146730 in words is "thirteen billion, two hundred million, one hundred forty-six thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 349 698 1047 1745 2094 3141 3490 5235 6282 10470 15705 31410 420253 840506 1260759 2101265 2521518 3782277 4202530 6303795 7564554 12607590 18911385 37822770 146668297 293336594 440004891 733341485 880009782 1320014673 1466682970 2200024455 2640029346 4400048910 6600073365 13200146730