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34130130101 is a prime number
BaseRepresentation
bin11111110010010100…
…000111010010110101
310021002120212020202122
4133302110013102311
51024344303130401
623402411045325
72315530214324
oct376224072265
9107076766678
1034130130101
11135246289a1
126746140845
1332abc49572
14191ab940bb
15d4b50621b
hex7f25074b5

34130130101 has 2 divisors, whose sum is σ = 34130130102. Its totient is φ = 34130130100.

The previous prime is 34130130091. The next prime is 34130130149. The reversal of 34130130101 is 10103103143.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 34012949476 + 117180625 = 184426^2 + 10825^2 .

It is a cyclic number.

It is not a de Polignac number, because 34130130101 - 218 = 34129867957 is a prime.

It is a super-2 number, since 2×341301301012 (a number of 22 digits) contains 22 as substring.

It is a Sophie Germain prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 34130130101.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (34130138101) 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, 17065065050 + 17065065051.

It is an arithmetic number, because the mean of its divisors is an integer number (17065065051).

Almost surely, 234130130101 is an apocalyptic number.

It is an amenable number.

34130130101 is a deficient number, since it is larger than the sum of its proper divisors (1).

34130130101 is an equidigital number, since it uses as much as digits as its factorization.

34130130101 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 34130130101 its reverse (10103103143), we get a palindrome (44233233244).

The spelling of 34130130101 in words is "thirty-four billion, one hundred thirty million, one hundred thirty thousand, one hundred one".