Search a number
-
+
127835100476441 is a prime number
BaseRepresentation
bin11101000100001111101101…
…110000001111010000011001
3121202121220201221121201000022
4131010033231300033100121
5113223422241210221231
61131514345011520225
735632531650321101
oct3504175560172031
9552556657551008
10127835100476441
113780661a623766
12124073705b9075
135643a4b9a4c47
14237d375210201
15eba43e922c7b
hex7443edc0f419

127835100476441 has 2 divisors, whose sum is σ = 127835100476442. Its totient is φ = 127835100476440.

The previous prime is 127835100476431. The next prime is 127835100476483. The reversal of 127835100476441 is 144674001538721.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 89613278012041 + 38221822464400 = 9466429^2 + 6182380^2 .

It is a cyclic number.

It is not a de Polignac number, because 127835100476441 - 222 = 127835096282137 is a prime.

It is not a weakly prime, because it can be changed into another prime (127835100476431) 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, 63917550238220 + 63917550238221.

It is an arithmetic number, because the mean of its divisors is an integer number (63917550238221).

Almost surely, 2127835100476441 is an apocalyptic number.

It is an amenable number.

127835100476441 is a deficient number, since it is larger than the sum of its proper divisors (1).

127835100476441 is an equidigital number, since it uses as much as digits as its factorization.

127835100476441 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4515840, while the sum is 53.

The spelling of 127835100476441 in words is "one hundred twenty-seven trillion, eight hundred thirty-five billion, one hundred million, four hundred seventy-six thousand, four hundred forty-one".