Search a number
-
+
12883226201 is a prime number
BaseRepresentation
bin10111111111110011…
…00110111001011001
31020020212001200220222
423333321212321121
5202341101214301
65530220125425
7634154421146
oct137771467131
936225050828
1012883226201
11551127758a
1225b6696875
1312a4137391
148a304d3cd
1550608731b
hex2ffe66e59

12883226201 has 2 divisors, whose sum is σ = 12883226202. Its totient is φ = 12883226200.

The previous prime is 12883226197. The next prime is 12883226267. The reversal of 12883226201 is 10262238821.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 6467376400 + 6415849801 = 80420^2 + 80099^2 .

It is a cyclic number.

It is not a de Polignac number, because 12883226201 - 22 = 12883226197 is a prime.

It is a super-2 number, since 2×128832262012 (a number of 21 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (12883226281) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 6441613100 + 6441613101.

It is an arithmetic number, because the mean of its divisors is an integer number (6441613101).

Almost surely, 212883226201 is an apocalyptic number.

It is an amenable number.

12883226201 is a deficient number, since it is larger than the sum of its proper divisors (1).

12883226201 is an equidigital number, since it uses as much as digits as its factorization.

12883226201 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18432, while the sum is 35.

The spelling of 12883226201 in words is "twelve billion, eight hundred eighty-three million, two hundred twenty-six thousand, two hundred one".