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113518130081 is a prime number
BaseRepresentation
bin110100110111000110…
…1010011001110100001
3101212000021101111120012
41221232031103032201
53324441120130311
6124052143254305
711126041120316
oct1515615231641
9355007344505
10113518130081
1144163030334
121a000baa395
13a921343795
1456cc540d0d
152e45dd678b
hex1a6e3533a1

113518130081 has 2 divisors, whose sum is σ = 113518130082. Its totient is φ = 113518130080.

The previous prime is 113518130069. The next prime is 113518130087. The reversal of 113518130081 is 180031815311.

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., 113490829456 + 27300625 = 336884^2 + 5225^2 .

It is a cyclic number.

It is not a de Polignac number, because 113518130081 - 226 = 113451021217 is a prime.

It is a super-2 number, since 2×1135181300812 (a number of 23 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (113518130087) 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, 56759065040 + 56759065041.

It is an arithmetic number, because the mean of its divisors is an integer number (56759065041).

Almost surely, 2113518130081 is an apocalyptic number.

It is an amenable number.

113518130081 is a deficient number, since it is larger than the sum of its proper divisors (1).

113518130081 is an equidigital number, since it uses as much as digits as its factorization.

113518130081 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2880, while the sum is 32.

Adding to 113518130081 its reverse (180031815311), we get a palindrome (293549945392).

The spelling of 113518130081 in words is "one hundred thirteen billion, five hundred eighteen million, one hundred thirty thousand, eighty-one".