Search a number
-
+
127504227337 is a prime number
BaseRepresentation
bin111011010111111011…
…0000001110000001001
3110012002222200212011021
41312233312001300021
54042112040233322
6134324042032441
712132450023134
oct1665766016011
9405088625137
10127504227337
114a08a8a31a3
1220864aa8721
13c03cac5586
146257c3921b
1534b3bc04c7
hex1dafd81c09

127504227337 has 2 divisors, whose sum is σ = 127504227338. Its totient is φ = 127504227336.

The previous prime is 127504227307. The next prime is 127504227353. The reversal of 127504227337 is 733722405721.

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., 110054081536 + 17450145801 = 331744^2 + 132099^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-127504227337 is a prime.

It is a super-2 number, since 2×1275042273372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 127504227293 and 127504227302.

It is not a weakly prime, because it can be changed into another prime (127504227307) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63752113668 + 63752113669.

It is an arithmetic number, because the mean of its divisors is an integer number (63752113669).

Almost surely, 2127504227337 is an apocalyptic number.

It is an amenable number.

127504227337 is a deficient number, since it is larger than the sum of its proper divisors (1).

127504227337 is an equidigital number, since it uses as much as digits as its factorization.

127504227337 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 493920, while the sum is 43.

The spelling of 127504227337 in words is "one hundred twenty-seven billion, five hundred four million, two hundred twenty-seven thousand, three hundred thirty-seven".