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12105540311 is a prime number
BaseRepresentation
bin10110100011000101…
…11110001011010111
31011020122201011102212
423101202332023113
5144243004242221
65321115424035
7605662252304
oct132142761327
934218634385
1012105540311
115152297677
12241a15501b
1311abc98007
1482ba520ab
154acb6bb5b
hex2d18be2d7

12105540311 has 2 divisors, whose sum is σ = 12105540312. Its totient is φ = 12105540310.

The previous prime is 12105540301. The next prime is 12105540329. The reversal of 12105540311 is 11304550121.

It is a weak prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12105540311 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12105540301) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6052770155 + 6052770156.

It is an arithmetic number, because the mean of its divisors is an integer number (6052770156).

Almost surely, 212105540311 is an apocalyptic number.

12105540311 is a deficient number, since it is larger than the sum of its proper divisors (1).

12105540311 is an equidigital number, since it uses as much as digits as its factorization.

12105540311 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 600, while the sum is 23.

The spelling of 12105540311 in words is "twelve billion, one hundred five million, five hundred forty thousand, three hundred eleven".