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12101223133 is a prime number
BaseRepresentation
bin10110100010100101…
…00000001011011101
31011020100120211101101
423101102200023131
5144240403120013
65320443113101
7605610461626
oct132122401335
934210524341
1012101223133
11514a90905a
122418812791
1311ab115c7c
1482b24aa4d
154ac5b78dd
hex2d14a02dd

12101223133 has 2 divisors, whose sum is σ = 12101223134. Its totient is φ = 12101223132.

The previous prime is 12101223097. The next prime is 12101223137. The reversal of 12101223133 is 33132210121.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 11492268804 + 608954329 = 107202^2 + 24677^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-12101223133 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 12101223133.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (12101223137) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6050611566 + 6050611567.

It is an arithmetic number, because the mean of its divisors is an integer number (6050611567).

Almost surely, 212101223133 is an apocalyptic number.

It is an amenable number.

12101223133 is a deficient number, since it is larger than the sum of its proper divisors (1).

12101223133 is an equidigital number, since it uses as much as digits as its factorization.

12101223133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 216, while the sum is 19.

Adding to 12101223133 its reverse (33132210121), we get a palindrome (45233433254).

The spelling of 12101223133 in words is "twelve billion, one hundred one million, two hundred twenty-three thousand, one hundred thirty-three".