Search a number
-
+
107544751678241 is a prime number
BaseRepresentation
bin11000011100111110110110…
…101110001010001100100001
3112002210011210122200000112222
4120130332312232022030201
5103044003122412200431
61020421213223200425
731436565126235223
oct3034766656121441
9462704718600488
10107544751678241
11312a3522700169
121008aa878a6115
134801571227907
141c7b29d93a413
15c6774483d57b
hex61cfb6b8a321

107544751678241 has 2 divisors, whose sum is σ = 107544751678242. Its totient is φ = 107544751678240.

The previous prime is 107544751678163. The next prime is 107544751678253. The reversal of 107544751678241 is 142876157445701.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72563394112225 + 34981357566016 = 8518415^2 + 5914504^2 .

It is a cyclic number.

It is not a de Polignac number, because 107544751678241 - 210 = 107544751677217 is a prime.

It is a super-2 number, since 2×1075447516782412 (a number of 29 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (107544751678261) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 53772375839120 + 53772375839121.

It is an arithmetic number, because the mean of its divisors is an integer number (53772375839121).

Almost surely, 2107544751678241 is an apocalyptic number.

It is an amenable number.

107544751678241 is a deficient number, since it is larger than the sum of its proper divisors (1).

107544751678241 is an equidigital number, since it uses as much as digits as its factorization.

107544751678241 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52684800, while the sum is 62.

The spelling of 107544751678241 in words is "one hundred seven trillion, five hundred forty-four billion, seven hundred fifty-one million, six hundred seventy-eight thousand, two hundred forty-one".