Search a number
-
+
10263500646229 is a prime number
BaseRepresentation
bin1001010101011010100001…
…0011110110011101010101
31100100011220000011222221001
42111112220103312131111
52321124122131134404
633454553114223301
72106341054026555
oct225265023663525
940304800158831
1010263500646229
1132a77a9600636
121199175724b31
13595ac823937c
14276a8298d165
1512be9d1037a4
hex955a84f6755

10263500646229 has 2 divisors, whose sum is σ = 10263500646230. Its totient is φ = 10263500646228.

The previous prime is 10263500646169. The next prime is 10263500646271. The reversal of 10263500646229 is 92264600536201.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10074288696004 + 189211950225 = 3174002^2 + 434985^2 .

It is a cyclic number.

It is not a de Polignac number, because 10263500646229 - 235 = 10229140907861 is a prime.

It is a super-2 number, since 2×102635006462292 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10263500643229) 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, 5131750323114 + 5131750323115.

It is an arithmetic number, because the mean of its divisors is an integer number (5131750323115).

Almost surely, 210263500646229 is an apocalyptic number.

It is an amenable number.

10263500646229 is a deficient number, since it is larger than the sum of its proper divisors (1).

10263500646229 is an equidigital number, since it uses as much as digits as its factorization.

10263500646229 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 10263500646229 in words is "ten trillion, two hundred sixty-three billion, five hundred million, six hundred forty-six thousand, two hundred twenty-nine".