Search a number
-
+
428327101 is a prime number
BaseRepresentation
bin11001100001111…
…100000010111101
31002211222021022201
4121201330002331
51334122431401
6110300311501
713420502026
oct3141740275
91084867281
10428327101
111aa863544
12bb542591
136a97bcb7
1440c59c4d
152790bb01
hex1987c0bd

428327101 has 2 divisors, whose sum is σ = 428327102. Its totient is φ = 428327100.

The previous prime is 428327077. The next prime is 428327113. The reversal of 428327101 is 101723824.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 428076100 + 251001 = 20690^2 + 501^2 .

It is a cyclic number.

It is not a de Polignac number, because 428327101 - 219 = 427802813 is a prime.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 428327101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (428327201) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 214163550 + 214163551.

It is an arithmetic number, because the mean of its divisors is an integer number (214163551).

Almost surely, 2428327101 is an apocalyptic number.

It is an amenable number.

428327101 is a deficient number, since it is larger than the sum of its proper divisors (1).

428327101 is an equidigital number, since it uses as much as digits as its factorization.

428327101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2688, while the sum is 28.

The square root of 428327101 is about 20696.0648675056. The cubic root of 428327101 is about 753.8041393347.

The spelling of 428327101 in words is "four hundred twenty-eight million, three hundred twenty-seven thousand, one hundred one".