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113434234013 is a prime number
BaseRepresentation
bin110100110100100110…
…1010000110010011101
3101211210102112010210102
41221221031100302131
53324303130442023
6124035545150445
711124002036342
oct1515115206235
9354712463712
10113434234013
114411a738a41
1219b98a8b425
13a909b4ac39
1456c13427c9
152e3d863628
hex1a69350c9d

113434234013 has 2 divisors, whose sum is σ = 113434234014. Its totient is φ = 113434234012.

The previous prime is 113434233943. The next prime is 113434234031. The reversal of 113434234013 is 310432434311.

It is a happy number.

Together with next prime (113434234031) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 77472042244 + 35962191769 = 278338^2 + 189637^2 .

It is a cyclic number.

It is not a de Polignac number, because 113434234013 - 226 = 113367125149 is a prime.

It is a super-2 number, since 2×1134342340132 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (113434234063) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 56717117006 + 56717117007.

It is an arithmetic number, because the mean of its divisors is an integer number (56717117007).

Almost surely, 2113434234013 is an apocalyptic number.

It is an amenable number.

113434234013 is a deficient number, since it is larger than the sum of its proper divisors (1).

113434234013 is an equidigital number, since it uses as much as digits as its factorization.

113434234013 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 10368, while the sum is 29.

Adding to 113434234013 its reverse (310432434311), we get a palindrome (423866668324).

The spelling of 113434234013 in words is "one hundred thirteen billion, four hundred thirty-four million, two hundred thirty-four thousand, thirteen".