Search a number
-
+
127835100476353 is a prime number
BaseRepresentation
bin11101000100001111101101…
…110000001111001111000001
3121202121220201221121200220001
4131010033231300033033001
5113223422241210220403
61131514345011520001
735632531650320614
oct3504175560171701
9552556657550801
10127835100476353
113780661a623696
12124073705b9001
135643a4b9a4baa
14237d37521017b
15eba43e922c1d
hex7443edc0f3c1

127835100476353 has 2 divisors, whose sum is σ = 127835100476354. Its totient is φ = 127835100476352.

The previous prime is 127835100476309. The next prime is 127835100476387. The reversal of 127835100476353 is 353674001538721.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 72065973332224 + 55769127144129 = 8489168^2 + 7467873^2 .

It is a cyclic number.

It is not a de Polignac number, because 127835100476353 - 233 = 127826510541761 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 127835100476294 and 127835100476303.

It is not a weakly prime, because it can be changed into another prime (127835700476353) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 63917550238176 + 63917550238177.

It is an arithmetic number, because the mean of its divisors is an integer number (63917550238177).

Almost surely, 2127835100476353 is an apocalyptic number.

It is an amenable number.

127835100476353 is a deficient number, since it is larger than the sum of its proper divisors (1).

127835100476353 is an equidigital number, since it uses as much as digits as its factorization.

127835100476353 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 12700800, while the sum is 55.

The spelling of 127835100476353 in words is "one hundred twenty-seven trillion, eight hundred thirty-five billion, one hundred million, four hundred seventy-six thousand, three hundred fifty-three".