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12130333320330 = 2325134781481337
BaseRepresentation
bin1011000010000101000000…
…1101010110010010001010
31120221122111210012202221200
42300201100031112102022
53042220410312222310
641444333113245030
72361246652654161
oct260412015262212
946848453182850
1012130333320330
113957499a16485
12143ab34103776
1369cb6865a584
142dd17b4523d8
151608101759c0
hexb085035648a

12130333320330 has 24 divisors (see below), whose sum is σ = 31538866633092. Its totient is φ = 3234755552064.

The previous prime is 12130333320299. The next prime is 12130333320373. The reversal of 12130333320330 is 3302333303121.

12130333320330 is a `hidden beast` number, since 1 + 2 + 1 + 3 + 0 + 3 + 3 + 3 + 320 + 330 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11092117013289 + 1038216307041 = 3330483^2 + 1018929^2 .

It is a super-3 number, since 3×121303333203303 (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12130333320294 and 12130333320303.

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, 67390740579 + ... + 67390740758.

Almost surely, 212130333320330 is an apocalyptic number.

12130333320330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12130333320330 is an abundant number, since it is smaller than the sum of its proper divisors (19408533312762).

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

12130333320330 is a wasteful number, since it uses less digits than its factorization.

12130333320330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134781481350 (or 134781481347 counting only the distinct ones).

The product of its (nonzero) digits is 8748, while the sum is 27.

Adding to 12130333320330 its reverse (3302333303121), we get a palindrome (15432666623451).

The spelling of 12130333320330 in words is "twelve trillion, one hundred thirty billion, three hundred thirty-three million, three hundred twenty thousand, three hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 134781481337 269562962674 404344444011 673907406685 808688888022 1213033332033 1347814813370 2021722220055 2426066664066 4043444440110 6065166660165 12130333320330