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104013011413 is a prime number
BaseRepresentation
bin110000011011110101…
…0001001100111010101
3100221110211211110000001
41200313222021213111
53201004312331123
6115441035451301
710341353003143
oct1406752114725
9327424743001
10104013011413
11401256a6a63
12181a98b6b31
139a680385cc
14506a000593
152a8b6d00ad
hex1837a899d5

104013011413 has 2 divisors, whose sum is σ = 104013011414. Its totient is φ = 104013011412.

The previous prime is 104013011411. The next prime is 104013011461. The reversal of 104013011413 is 314110310401.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 103926930129 + 86081284 = 322377^2 + 9278^2 .

It is a cyclic number.

It is not a de Polignac number, because 104013011413 - 21 = 104013011411 is a prime.

Together with 104013011411, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (104013011411) 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, 52006505706 + 52006505707.

It is an arithmetic number, because the mean of its divisors is an integer number (52006505707).

Almost surely, 2104013011413 is an apocalyptic number.

It is an amenable number.

104013011413 is a deficient number, since it is larger than the sum of its proper divisors (1).

104013011413 is an equidigital number, since it uses as much as digits as its factorization.

104013011413 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 144, while the sum is 19.

Adding to 104013011413 its reverse (314110310401), we get a palindrome (418123321814).

The spelling of 104013011413 in words is "one hundred four billion, thirteen million, eleven thousand, four hundred thirteen".