Search a number
-
+
10729429301 is a prime number
BaseRepresentation
bin10011111111000011…
…00001100100110101
31000200202022111000102
421333201201210311
5133433213214201
64532400523445
7526612433663
oct117741414465
930622274012
1010729429301
114606535048
1220b5320585
13101cb61b46
1473ad9bc33
1542be4526b
hex27f861935

10729429301 has 2 divisors, whose sum is σ = 10729429302. Its totient is φ = 10729429300.

The previous prime is 10729429297. The next prime is 10729429303. The reversal of 10729429301 is 10392492701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 9613802500 + 1115626801 = 98050^2 + 33401^2 .

It is an emirp because it is prime and its reverse (10392492701) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 10729429301 - 22 = 10729429297 is a prime.

Together with 10729429303, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10729429303) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5364714650 + 5364714651.

It is an arithmetic number, because the mean of its divisors is an integer number (5364714651).

Almost surely, 210729429301 is an apocalyptic number.

It is an amenable number.

10729429301 is a deficient number, since it is larger than the sum of its proper divisors (1).

10729429301 is an equidigital number, since it uses as much as digits as its factorization.

10729429301 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 38.

The spelling of 10729429301 in words is "ten billion, seven hundred twenty-nine million, four hundred twenty-nine thousand, three hundred one".