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10004441222113 = 1329832811137803
BaseRepresentation
bin1001000110010101011100…
…1010100100101111100001
31022102102012201011201020021
42101211113022210233201
52302403043423101423
633135550555513441
72051540244200602
oct221452712445741
938372181151207
1010004441222113
113207950288a18
121156b17158881
135775512c23c0
14268308cd7da9
15125389cc095d
hex919572a4be1

10004441222113 has 32 divisors (see below), whose sum is σ = 11319966483840. Its totient is φ = 8777641797120.

The previous prime is 10004441222093. The next prime is 10004441222129. The reversal of 10004441222113 is 31122214440001.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-10004441222113 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10004441222813) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8223870 + ... + 9361672.

It is an arithmetic number, because the mean of its divisors is an integer number (353748952620).

Almost surely, 210004441222113 is an apocalyptic number.

10004441222113 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

10004441222113 is a deficient number, since it is larger than the sum of its proper divisors (1315525261727).

10004441222113 is a wasteful number, since it uses less digits than its factorization.

10004441222113 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138209.

The product of its (nonzero) digits is 1536, while the sum is 25.

Adding to 10004441222113 its reverse (31122214440001), we get a palindrome (41126655662114).

The spelling of 10004441222113 in words is "ten trillion, four billion, four hundred forty-one million, two hundred twenty-two thousand, one hundred thirteen".

Divisors: 1 13 29 83 281 377 1079 2407 3653 8149 23323 31291 105937 303199 676367 1137803 8792771 14791439 32996287 94437649 319722643 428951731 1227689437 2738691821 4156394359 9271956647 26536979369 35602993673 120535436411 344980731797 769572401701 10004441222113