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12100211759 is a prime number
BaseRepresentation
bin10110100010011101…
…01001010000101111
31011020021200110001002
423101032221100233
5144240123234014
65320405310515
7605566050206
oct132116512057
934207613032
1012100211759
11514a288209
12241840543b
1311aab5081c
1482b06623d
154ac467dde
hex2d13a942f

12100211759 has 2 divisors, whose sum is σ = 12100211760. Its totient is φ = 12100211758.

The previous prime is 12100211699. The next prime is 12100211789. The reversal of 12100211759 is 95711200121.

It is a happy number.

12100211759 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 12100211759 - 212 = 12100207663 is a prime.

It is a super-2 number, since 2×121002117592 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12100211789) 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 as a sum of consecutive naturals, namely, 6050105879 + 6050105880.

It is an arithmetic number, because the mean of its divisors is an integer number (6050105880).

Almost surely, 212100211759 is an apocalyptic number.

12100211759 is a deficient number, since it is larger than the sum of its proper divisors (1).

12100211759 is an equidigital number, since it uses as much as digits as its factorization.

12100211759 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1260, while the sum is 29.

The spelling of 12100211759 in words is "twelve billion, one hundred million, two hundred eleven thousand, seven hundred fifty-nine".