Search a number
-
+
30638657053 is a prime number
BaseRepresentation
bin11100100010001101…
…001100111000011101
32221002021001001011001
4130202031030320131
51000221444011203
622024124430301
72133153200524
oct344215147035
987067031131
1030638657053
1111aa27a5584
125b309a8391
132b737a7194
1416a91b54bb
15be4c3091d
hex72234ce1d

30638657053 has 2 divisors, whose sum is σ = 30638657054. Its totient is φ = 30638657052.

The previous prime is 30638657033. The next prime is 30638657069. The reversal of 30638657053 is 35075683603.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 24219763129 + 6418893924 = 155627^2 + 80118^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-30638657053 is a prime.

It is a super-2 number, since 2×306386570532 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 30638656994 and 30638657012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (30638657003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 15319328526 + 15319328527.

It is an arithmetic number, because the mean of its divisors is an integer number (15319328527).

Almost surely, 230638657053 is an apocalyptic number.

It is an amenable number.

30638657053 is a deficient number, since it is larger than the sum of its proper divisors (1).

30638657053 is an equidigital number, since it uses as much as digits as its factorization.

30638657053 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1360800, while the sum is 46.

The spelling of 30638657053 in words is "thirty billion, six hundred thirty-eight million, six hundred fifty-seven thousand, fifty-three".