Search a number
-
+
101482801801 is a prime number
BaseRepresentation
bin101111010000011011…
…0001010101010001001
3100200221111210110220221
41132200312022222021
53130314044124201
6114342012350041
710221560403553
oct1364066125211
9320844713827
10101482801801
113a04743a037
1217802475321
139753a8c964
144ca9d684d3
15298e4d84a1
hex17a0d8aa89

101482801801 has 2 divisors, whose sum is σ = 101482801802. Its totient is φ = 101482801800.

The previous prime is 101482801787. The next prime is 101482801817. The reversal of 101482801801 is 108108284101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 77227854201 + 24254947600 = 277899^2 + 155740^2 .

It is a cyclic number.

It is not a de Polignac number, because 101482801801 - 213 = 101482793609 is a prime.

It is a super-2 number, since 2×1014828018012 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (101482801831) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50741400900 + 50741400901.

It is an arithmetic number, because the mean of its divisors is an integer number (50741400901).

Almost surely, 2101482801801 is an apocalyptic number.

It is an amenable number.

101482801801 is a deficient number, since it is larger than the sum of its proper divisors (1).

101482801801 is an equidigital number, since it uses as much as digits as its factorization.

101482801801 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4096, while the sum is 34.

The spelling of 101482801801 in words is "one hundred one billion, four hundred eighty-two million, eight hundred one thousand, eight hundred one".