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2232012113 is a prime number
BaseRepresentation
bin1000010100001001…
…1100110101010001
312202112220222000022
42011002130311101
514032343341423
61005251433225
7106211534642
oct20502346521
95675828008
102232012113
11a45a04811
125235b5815
1329755c436
141726116c9
15d0e41dc8
hex8509cd51

2232012113 has 2 divisors, whose sum is σ = 2232012114. Its totient is φ = 2232012112.

The previous prime is 2232012073. The next prime is 2232012119. The reversal of 2232012113 is 3112102322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1464057169 + 767954944 = 38263^2 + 27712^2 .

It is a cyclic number.

It is not a de Polignac number, because 2232012113 - 214 = 2231995729 is a prime.

It is a super-3 number, since 3×22320121133 (a number of 29 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232012091 and 2232012100.

It is not a weakly prime, because it can be changed into another prime (2232012119) 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, 1116006056 + 1116006057.

It is an arithmetic number, because the mean of its divisors is an integer number (1116006057).

Almost surely, 22232012113 is an apocalyptic number.

It is an amenable number.

2232012113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232012113 is an equidigital number, since it uses as much as digits as its factorization.

2232012113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 17.

The square root of 2232012113 is about 47244.1754399418. The cubic root of 2232012113 is about 1306.8693795232.

Adding to 2232012113 its reverse (3112102322), we get a palindrome (5344114435).

The spelling of 2232012113 in words is "two billion, two hundred thirty-two million, twelve thousand, one hundred thirteen".