Search a number
-
+
10653236112137 is a prime number
BaseRepresentation
bin1001101100000110011001…
…0110101010101100001001
31101201102212100020000020112
42123001212112222230021
52344020311421042022
634354010142004105
72146446056601323
oct233014626525411
941642770200215
1010653236112137
113438015068603
121240803276635
135c37991292a8
1428b89580c613
151371ad7d88e2
hex9b0665aab09

10653236112137 has 2 divisors, whose sum is σ = 10653236112138. Its totient is φ = 10653236112136.

The previous prime is 10653236112089. The next prime is 10653236112143. The reversal of 10653236112137 is 73121163235601.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 10610061921481 + 43174190656 = 3257309^2 + 207784^2 .

It is a cyclic number.

It is not a de Polignac number, because 10653236112137 - 224 = 10653219334921 is a prime.

It is a super-2 number, since 2×106532361121372 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10653236112094 and 10653236112103.

It is not a weakly prime, because it can be changed into another prime (10653236112037) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5326618056068 + 5326618056069.

It is an arithmetic number, because the mean of its divisors is an integer number (5326618056069).

Almost surely, 210653236112137 is an apocalyptic number.

It is an amenable number.

10653236112137 is a deficient number, since it is larger than the sum of its proper divisors (1).

10653236112137 is an equidigital number, since it uses as much as digits as its factorization.

10653236112137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 136080, while the sum is 41.

Adding to 10653236112137 its reverse (73121163235601), we get a palindrome (83774399347738).

The spelling of 10653236112137 in words is "ten trillion, six hundred fifty-three billion, two hundred thirty-six million, one hundred twelve thousand, one hundred thirty-seven".