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1314013105530 = 232514600145617
BaseRepresentation
bin10011000111110001010…
…010001100110101111010
311122121200211110222012200
4103013301102030311322
5133012044323334110
62443352125051030
7163635320052426
oct23076122146572
94577624428180
101314013105530
114672a7161844
121927b83b6a76
1396bac344568
14478546b3b86
15242a92966c0
hex131f148cd7a

1314013105530 has 24 divisors (see below), whose sum is σ = 3416434074612. Its totient is φ = 350403494784.

The previous prime is 1314013105507. The next prime is 1314013105543. The reversal of 1314013105530 is 355013104131.

It is a happy number.

1314013105530 is a `hidden beast` number, since 1 + 3 + 14 + 0 + 13 + 105 + 530 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1083362477409 + 230650628121 = 1040847^2 + 480261^2 .

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1314013105494 and 1314013105503.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7300072719 + ... + 7300072898.

Almost surely, 21314013105530 is an apocalyptic number.

1314013105530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1314013105530 is an abundant number, since it is smaller than the sum of its proper divisors (2102420969082).

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

1314013105530 is a wasteful number, since it uses less digits than its factorization.

1314013105530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14600145630 (or 14600145627 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

Adding to 1314013105530 its reverse (355013104131), we get a palindrome (1669026209661).

The spelling of 1314013105530 in words is "one trillion, three hundred fourteen billion, thirteen million, one hundred five thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 14600145617 29200291234 43800436851 73000728085 87600873702 131401310553 146001456170 219002184255 262802621106 438004368510 657006552765 1314013105530