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12106380841 = 19257912
BaseRepresentation
bin10110100011001100…
…01011011000101001
31011020201021212102121
423101212023120221
5144243213141331
65321145431241
7606002352652
oct132146133051
934221255377
1012106380841
115152811125
12241a49b521
1311ac200779
1482bbd0529
154acc85c11
hex2d198b629

12106380841 has 9 divisors (see below), whose sum is σ = 12779301213. Its totient is φ = 11467222380.

The previous prime is 12106380827. The next prime is 12106380859. The reversal of 12106380841 is 14808360121.

The square root of 12106380841 is 110029.

It is a perfect power (a square), and thus also a powerful number.

It is not a de Polignac number, because 12106380841 - 233 = 3516446249 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12106380797 and 12106380806.

It is not an unprimeable number, because it can be changed into a prime (12106380241) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2087656 + ... + 2093446.

It is an arithmetic number, because the mean of its divisors is an integer number (1419922357).

Almost surely, 212106380841 is an apocalyptic number.

12106380841 is the 110029-th square number.

12106380841 is the 55015-th centered octagonal number.

It is an amenable number.

12106380841 is a deficient number, since it is larger than the sum of its proper divisors (672920372).

12106380841 is an frugal number, since it uses more digits than its factorization.

12106380841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11620 (or 5810 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 34.

Multiplying 12106380841 by its product of nonzero digits (9216), we get a square (111572405830656 = 105627842).

The spelling of 12106380841 in words is "twelve billion, one hundred six million, three hundred eighty thousand, eight hundred forty-one".

Divisors: 1 19 361 5791 110029 2090551 33535681 637177939 12106380841