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12106130780 = 22517109326663
BaseRepresentation
bin10110100011001010…
…01110010101011100
31011020200211011102002
423101211032111130
5144243132141110
65321140221432
7606000261632
oct132145162534
934220734362
1012106130780
115152660267
12241a39a878
1311ac1439c3
1482bb67352
154acc36aa5
hex2d194e55c

12106130780 has 48 divisors (see below), whose sum is σ = 27165378240. Its totient is φ = 4515775488.

The previous prime is 12106130761. The next prime is 12106130789. The reversal of 12106130780 is 8703160121.

12106130780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12106130789) 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, 126272 + ... + 200391.

It is an arithmetic number, because the mean of its divisors is an integer number (565945380).

Almost surely, 212106130780 is an apocalyptic number.

12106130780 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12106130780 is an abundant number, since it is smaller than the sum of its proper divisors (15059247460).

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

12106130780 is a wasteful number, since it uses less digits than its factorization.

12106130780 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326798 (or 326796 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 29.

The spelling of 12106130780 in words is "twelve billion, one hundred six million, one hundred thirty thousand, seven hundred eighty".

Divisors: 1 2 4 5 10 17 20 34 68 85 109 170 218 340 436 545 1090 1853 2180 3706 7412 9265 18530 37060 326663 653326 1306652 1633315 3266630 5553271 6533260 11106542 22213084 27766355 35606267 55532710 71212534 111065420 142425068 178031335 356062670 605306539 712125340 1210613078 2421226156 3026532695 6053065390 12106130780