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234005013013 is a prime number
BaseRepresentation
bin1101100111101111001…
…0010010001000010101
3211101000012201022212211
43121323302102020111
512313220240404023
6255300031313421
722622601535432
oct3317362221025
9741005638784
10234005013013
1190271802842
123942797b871
13190b336c655
14b47c3c6b89
1561489b3a0d
hex367bc92215

234005013013 has 2 divisors, whose sum is σ = 234005013014. Its totient is φ = 234005013012.

The previous prime is 234005012993. The next prime is 234005013029. The reversal of 234005013013 is 310310500432.

234005013013 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 139201371409 + 94803641604 = 373097^2 + 307902^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-234005013013 is a prime.

It is a super-2 number, since 2×2340050130132 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (234005019013) 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, 117002506506 + 117002506507.

It is an arithmetic number, because the mean of its divisors is an integer number (117002506507).

Almost surely, 2234005013013 is an apocalyptic number.

It is an amenable number.

234005013013 is a deficient number, since it is larger than the sum of its proper divisors (1).

234005013013 is an equidigital number, since it uses as much as digits as its factorization.

234005013013 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 22.

Adding to 234005013013 its reverse (310310500432), we get a palindrome (544315513445).

The spelling of 234005013013 in words is "two hundred thirty-four billion, five million, thirteen thousand, thirteen".