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113253131353 is a prime number
BaseRepresentation
bin110100101111001101…
…0011010010001011001
3101211022210202011122111
41221132122122101121
53323420300200403
6124005555352321
711116342506265
oct1513632322131
9354283664574
10113253131353
114403749291a
1219b482b26a1
13a8ab47c1bb
1456a527d0a5
152e2c9dd56d
hex1a5e69a459

113253131353 has 2 divisors, whose sum is σ = 113253131354. Its totient is φ = 113253131352.

The previous prime is 113253131309. The next prime is 113253131357. The reversal of 113253131353 is 353131352311.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 111818009664 + 1435121689 = 334392^2 + 37883^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-113253131353 is a prime.

It is a super-2 number, since 2×1132531313532 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113253131357) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56626565676 + 56626565677.

It is an arithmetic number, because the mean of its divisors is an integer number (56626565677).

Almost surely, 2113253131353 is an apocalyptic number.

It is an amenable number.

113253131353 is a deficient number, since it is larger than the sum of its proper divisors (1).

113253131353 is an equidigital number, since it uses as much as digits as its factorization.

113253131353 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 12150, while the sum is 31.

Adding to 113253131353 its reverse (353131352311), we get a palindrome (466384483664).

The spelling of 113253131353 in words is "one hundred thirteen billion, two hundred fifty-three million, one hundred thirty-one thousand, three hundred fifty-three".