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10004413000341 = 317316327901961
BaseRepresentation
bin1001000110010101010101…
…1110111010101010010101
31022102102010202001220020110
42101211111132322222111
52302403014212002331
633135544110553233
72051536452256434
oct221452536725225
938372122056213
1010004413000341
113207936362541
121156b09808819
135775484c0926
1426830526d11b
15125387598946
hex919557baa95

10004413000341 has 16 divisors (see below), whose sum is σ = 14579486120448. Its totient is φ = 6074785881600.

The previous prime is 10004413000327. The next prime is 10004413000349. The reversal of 10004413000341 is 14300031440001.

It is not a de Polignac number, because 10004413000341 - 27 = 10004413000213 is a prime.

It is a super-2 number, since 2×100044130003412 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10004413000349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3163949400 + ... + 3163952561.

It is an arithmetic number, because the mean of its divisors is an integer number (911217882528).

Almost surely, 210004413000341 is an apocalyptic number.

It is an amenable number.

10004413000341 is a deficient number, since it is larger than the sum of its proper divisors (4575073120107).

10004413000341 is a wasteful number, since it uses less digits than its factorization.

10004413000341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6327902012.

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 10004413000341 its reverse (14300031440001), we get a palindrome (24304444440342).

The spelling of 10004413000341 in words is "ten trillion, four billion, four hundred thirteen million, three hundred forty-one", and thus it is an aban number.

Divisors: 1 3 17 31 51 93 527 1581 6327901961 18983705883 107574333337 196164960791 322723000011 588494882373 3334804333447 10004413000341