Search a number
-
+
42145440101 is a prime number
BaseRepresentation
bin100111010000000100…
…000110000101100101
311000210012002012000222
4213100010012011211
51142303213040401
631210015014125
73021255221132
oct472004060545
9130705065028
1042145440101
1116968002a36
12820250a345
133c886c014b
14207b4c5589
15116a027c1b
hex9d0106165

42145440101 has 2 divisors, whose sum is σ = 42145440102. Its totient is φ = 42145440100.

The previous prime is 42145440089. The next prime is 42145440107. The reversal of 42145440101 is 10104454124.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 42037300900 + 108139201 = 205030^2 + 10399^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-42145440101 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (42145440107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 21072720050 + 21072720051.

It is an arithmetic number, because the mean of its divisors is an integer number (21072720051).

Almost surely, 242145440101 is an apocalyptic number.

It is an amenable number.

42145440101 is a deficient number, since it is larger than the sum of its proper divisors (1).

42145440101 is an equidigital number, since it uses as much as digits as its factorization.

42145440101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2560, while the sum is 26.

Adding to 42145440101 its reverse (10104454124), we get a palindrome (52249894225).

The spelling of 42145440101 in words is "forty-two billion, one hundred forty-five million, four hundred forty thousand, one hundred one".