Search a number
-
+
247214110037 is a prime number
BaseRepresentation
bin1110011000111100011…
…0111111010101010101
3212122002202221222112112
43212033012333111111
513022243303010122
6305322452200405
723601124156406
oct3461706772525
9778082858475
10247214110037
119592aa13954
123bab3609105
131a409b621ab
14bd728219ad
15666d46a2e2
hex398f1bf555

247214110037 has 2 divisors, whose sum is σ = 247214110038. Its totient is φ = 247214110036.

The previous prime is 247214109977. The next prime is 247214110043. The reversal of 247214110037 is 730011412742.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 247213806436 + 303601 = 497206^2 + 551^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-247214110037 is a prime.

It is a super-2 number, since 2×2472141100372 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 247214109985 and 247214110012.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (247214710037) 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, 123607055018 + 123607055019.

It is an arithmetic number, because the mean of its divisors is an integer number (123607055019).

Almost surely, 2247214110037 is an apocalyptic number.

It is an amenable number.

247214110037 is a deficient number, since it is larger than the sum of its proper divisors (1).

247214110037 is an equidigital number, since it uses as much as digits as its factorization.

247214110037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 9408, while the sum is 32.

Adding to 247214110037 its reverse (730011412742), we get a palindrome (977225522779).

The spelling of 247214110037 in words is "two hundred forty-seven billion, two hundred fourteen million, one hundred ten thousand, thirty-seven".