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34040041213 is a prime number
BaseRepresentation
bin11111101100111100…
…011100111011111101
310020212022100021001011
4133230330130323331
51024203222304323
623345432115221
72313354401443
oct375474347375
9106768307034
1034040041213
1113488796872
12671bb35b11
133296396029
14190cc22b93
15d4365d20d
hex7ecf1cefd

34040041213 has 2 divisors, whose sum is σ = 34040041214. Its totient is φ = 34040041212.

The previous prime is 34040041207. The next prime is 34040041253. The reversal of 34040041213 is 31214004043.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 25736822329 + 8303218884 = 160427^2 + 91122^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-34040041213 is a prime.

It is a super-2 number, since 2×340400412132 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34040041253) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17020020606 + 17020020607.

It is an arithmetic number, because the mean of its divisors is an integer number (17020020607).

Almost surely, 234040041213 is an apocalyptic number.

It is an amenable number.

34040041213 is a deficient number, since it is larger than the sum of its proper divisors (1).

34040041213 is an equidigital number, since it uses as much as digits as its factorization.

34040041213 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 34040041213 its reverse (31214004043), we get a palindrome (65254045256).

The spelling of 34040041213 in words is "thirty-four billion, forty million, forty-one thousand, two hundred thirteen".