Search a number
-
+
918718022153 is a prime number
BaseRepresentation
bin11010101111001111101…
…11001000001000001001
310020211101001001010111002
431113213313020020021
5110023013303202103
61542015255344345
7123242455224461
oct15274767101011
93224331033432
10918718022153
11324698410998
1212a0789820b5
1368833698b69
143267531cba1
1518d70967488
hexd5e7dc8209

918718022153 has 2 divisors, whose sum is σ = 918718022154. Its totient is φ = 918718022152.

The previous prime is 918718022129. The next prime is 918718022177. The reversal of 918718022153 is 351220817819.

918718022153 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a balanced prime because it is at equal distance from previous prime (918718022129) and next prime (918718022177).

It can be written as a sum of positive squares in only one way, i.e., 509613232384 + 409104789769 = 713872^2 + 639613^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-918718022153 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 918718022098 and 918718022107.

It is not a weakly prime, because it can be changed into another prime (918718022953) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 459359011076 + 459359011077.

It is an arithmetic number, because the mean of its divisors is an integer number (459359011077).

Almost surely, 2918718022153 is an apocalyptic number.

It is an amenable number.

918718022153 is a deficient number, since it is larger than the sum of its proper divisors (1).

918718022153 is an equidigital number, since it uses as much as digits as its factorization.

918718022153 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 241920, while the sum is 47.

The spelling of 918718022153 in words is "nine hundred eighteen billion, seven hundred eighteen million, twenty-two thousand, one hundred fifty-three".