Search a number
-
+
222001070117 is a prime number
BaseRepresentation
bin1100111011000001001…
…0111000000000100101
3210020000122011211220012
43032300102320000211
512114124233220432
6245552541220005
722016251650401
oct3166022700045
9706018154805
10222001070117
11861718a8882
1237037861605
1317c1c457268
14aa60060101
155b94c14cb2
hex33b04b8025

222001070117 has 2 divisors, whose sum is σ = 222001070118. Its totient is φ = 222001070116.

The previous prime is 222001070113. The next prime is 222001070119. The reversal of 222001070117 is 711070100222.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 193911645316 + 28089424801 = 440354^2 + 167599^2 .

It is a cyclic number.

It is not a de Polignac number, because 222001070117 - 22 = 222001070113 is a prime.

It is a super-3 number, since 3×2220010701173 (a number of 35 digits) contains 333 as substring.

Together with 222001070119, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 222001070092 and 222001070101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222001070113) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111000535058 + 111000535059.

It is an arithmetic number, because the mean of its divisors is an integer number (111000535059).

Almost surely, 2222001070117 is an apocalyptic number.

It is an amenable number.

222001070117 is a deficient number, since it is larger than the sum of its proper divisors (1).

222001070117 is an equidigital number, since it uses as much as digits as its factorization.

222001070117 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 392, while the sum is 23.

Adding to 222001070117 its reverse (711070100222), we get a palindrome (933071170339).

The spelling of 222001070117 in words is "two hundred twenty-two billion, one million, seventy thousand, one hundred seventeen".