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10414133341 is a prime number
BaseRepresentation
bin10011011001011101…
…10001000001011101
3222212210000210021021
421230232301001131
5132312004231331
64441215004141
7516033446533
oct115456610135
928783023237
1010414133341
114464563577
122027809651
13c9c739aa1
1470b166153
1540e414211
hex26cbb105d

10414133341 has 2 divisors, whose sum is σ = 10414133342. Its totient is φ = 10414133340.

The previous prime is 10414133299. The next prime is 10414133347. The reversal of 10414133341 is 14333141401.

It is a happy number.

10414133341 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., 5646921316 + 4767212025 = 75146^2 + 69045^2 .

It is a cyclic number.

It is not a de Polignac number, because 10414133341 - 211 = 10414131293 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10414133347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5207066670 + 5207066671.

It is an arithmetic number, because the mean of its divisors is an integer number (5207066671).

Almost surely, 210414133341 is an apocalyptic number.

It is an amenable number.

10414133341 is a deficient number, since it is larger than the sum of its proper divisors (1).

10414133341 is an equidigital number, since it uses as much as digits as its factorization.

10414133341 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1728, while the sum is 25.

Adding to 10414133341 its reverse (14333141401), we get a palindrome (24747274742).

The spelling of 10414133341 in words is "ten billion, four hundred fourteen million, one hundred thirty-three thousand, three hundred forty-one".