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2232110113 is a prime number
BaseRepresentation
bin1000010100001011…
…0100110000100001
312202120002221102221
42011002310300201
514032410010423
61005253511041
7106212423442
oct20502646041
95676087387
102232110113
11a45a71402
12523642481
13297594c1c
141726392c9
15d0e60e5d
hex850b4c21

2232110113 has 2 divisors, whose sum is σ = 2232110114. Its totient is φ = 2232110112.

The previous prime is 2232110107. The next prime is 2232110117. The reversal of 2232110113 is 3110112322.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1215010449 + 1017099664 = 34857^2 + 31892^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2232110113 is a prime.

It is a super-3 number, since 3×22321101133 (a number of 29 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (2232110117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1116055056 + 1116055057.

It is an arithmetic number, because the mean of its divisors is an integer number (1116055057).

Almost surely, 22232110113 is an apocalyptic number.

It is an amenable number.

2232110113 is a deficient number, since it is larger than the sum of its proper divisors (1).

2232110113 is an equidigital number, since it uses as much as digits as its factorization.

2232110113 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 2232110113 is about 47245.2125934470. The cubic root of 2232110113 is about 1306.8885059613. Note that the first 3 decimals are identical.

Adding to 2232110113 its reverse (3110112322), we get a palindrome (5342222435).

The spelling of 2232110113 in words is "two billion, two hundred thirty-two million, one hundred ten thousand, one hundred thirteen".