Search a number
-
+
101321120273 is a prime number
BaseRepresentation
bin101111001011100110…
…1011001101000010001
3100200112020120012120012
41132113031121220101
53130001201322043
6114313555124305
710214555212052
oct1362715315021
9320466505505
10101321120273
1139a7414933a
12177782a3695
139729430a09
144c926bc729
1529801eca18
hex1797359a11

101321120273 has 2 divisors, whose sum is σ = 101321120274. Its totient is φ = 101321120272.

The previous prime is 101321120269. The next prime is 101321120321. The reversal of 101321120273 is 372021123101.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 72701954689 + 28619165584 = 269633^2 + 169172^2 .

It is a cyclic number.

It is not a de Polignac number, because 101321120273 - 22 = 101321120269 is a prime.

It is a super-3 number, since 3×1013211202733 (a number of 34 digits) contains 333 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is not a weakly prime, because it can be changed into another prime (101321125273) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 50660560136 + 50660560137.

It is an arithmetic number, because the mean of its divisors is an integer number (50660560137).

Almost surely, 2101321120273 is an apocalyptic number.

It is an amenable number.

101321120273 is a deficient number, since it is larger than the sum of its proper divisors (1).

101321120273 is an equidigital number, since it uses as much as digits as its factorization.

101321120273 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 504, while the sum is 23.

Adding to 101321120273 its reverse (372021123101), we get a palindrome (473342243374).

The spelling of 101321120273 in words is "one hundred one billion, three hundred twenty-one million, one hundred twenty thousand, two hundred seventy-three".