[go: up one dir, main page]

Search a number
-
+
36072121 is a prime number
BaseRepresentation
bin1000100110011…
…0101010111001
32111212122122111
42021212222321
533213301441
63325052321
7615415351
oct211465271
974778574
1036072121
11193a8578
12100b70a1
13761ca67
144b0db61
153278081
hex2266ab9

36072121 has 2 divisors, whose sum is σ = 36072122. Its totient is φ = 36072120.

The previous prime is 36072067. The next prime is 36072137. The reversal of 36072121 is 12127063.

36072121 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21715600 + 14356521 = 4660^2 + 3789^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-36072121 is a prime.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 36072092 and 36072101.

It is not a weakly prime, because it can be changed into another prime (36072721) 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, 18036060 + 18036061.

It is an arithmetic number, because the mean of its divisors is an integer number (18036061).

Almost surely, 236072121 is an apocalyptic number.

It is an amenable number.

36072121 is a deficient number, since it is larger than the sum of its proper divisors (1).

36072121 is an equidigital number, since it uses as much as digits as its factorization.

36072121 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 22.

The square root of 36072121 is about 6006.0070762529. The cubic root of 36072121 is about 330.4130762285.

Adding to 36072121 its reverse (12127063), we get a palindrome (48199184).

The spelling of 36072121 in words is "thirty-six million, seventy-two thousand, one hundred twenty-one".