Search a number
-
+
10671044029 is a prime number
BaseRepresentation
bin10011111000000101…
…10011010110111101
31000112200110012110221
421330002303112331
5133323241402104
64522513301341
7525303243352
oct117402632675
930480405427
1010671044029
114586587358
122099864851
131010a2bb49
14733320629
15426c60c54
hex27c0b35bd

10671044029 has 2 divisors, whose sum is σ = 10671044030. Its totient is φ = 10671044028.

The previous prime is 10671044017. The next prime is 10671044071. The reversal of 10671044029 is 92044017601.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 8376825625 + 2294218404 = 91525^2 + 47898^2 .

It is a cyclic number.

It is not a de Polignac number, because 10671044029 - 215 = 10671011261 is a prime.

It is a super-3 number, since 3×106710440293 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 10671043985 and 10671044003.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10671044429) 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, 5335522014 + 5335522015.

It is an arithmetic number, because the mean of its divisors is an integer number (5335522015).

Almost surely, 210671044029 is an apocalyptic number.

It is an amenable number.

10671044029 is a deficient number, since it is larger than the sum of its proper divisors (1).

10671044029 is an equidigital number, since it uses as much as digits as its factorization.

10671044029 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 12096, while the sum is 34.

The spelling of 10671044029 in words is "ten billion, six hundred seventy-one million, forty-four thousand, twenty-nine".