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222312231133 is a prime number
BaseRepresentation
bin1100111100001011010…
…1110111000011011101
3210020211022200110120021
43033002311313003131
512120243412344013
6250043454352141
722030050533356
oct3170265670335
9706738613507
10222312231133
1186311505743
1237103abb651
1317c6ba621c5
14aa8d4dad2d
155bb21caa8d
hex33c2d770dd

222312231133 has 2 divisors, whose sum is σ = 222312231134. Its totient is φ = 222312231132.

The previous prime is 222312231109. The next prime is 222312231157. The reversal of 222312231133 is 331132213222.

It is a balanced prime because it is at equal distance from previous prime (222312231109) and next prime (222312231157).

It can be written as a sum of positive squares in only one way, i.e., 178196269689 + 44115961444 = 422133^2 + 210038^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-222312231133 is a prime.

It is a super-2 number, since 2×2223122311332 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 222312231098 and 222312231107.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (222312231233) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 111156115566 + 111156115567.

It is an arithmetic number, because the mean of its divisors is an integer number (111156115567).

Almost surely, 2222312231133 is an apocalyptic number.

It is an amenable number.

222312231133 is a deficient number, since it is larger than the sum of its proper divisors (1).

222312231133 is an equidigital number, since it uses as much as digits as its factorization.

222312231133 is an evil number, because the sum of its binary digits is even.

The product of its digits is 2592, while the sum is 25.

Adding to 222312231133 its reverse (331132213222), we get a palindrome (553444444355).

The spelling of 222312231133 in words is "two hundred twenty-two billion, three hundred twelve million, two hundred thirty-one thousand, one hundred thirty-three".