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104943349401 = 31119487734319
BaseRepresentation
bin110000110111100011…
…1000110111010011001
3101000212200102111210120
41201233013012322121
53204410444140101
6120113232103453
710403410515612
oct1415707067231
9330780374716
10104943349401
114056286a730
1218409394b89
139b859c4a67
1451177b6c09
152ae3200b36
hex186f1c6e99

104943349401 has 32 divisors (see below), whose sum is σ = 160716441600. Its totient is φ = 60240444480.

The previous prime is 104943349393. The next prime is 104943349453.

104943349401 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 104943349401 - 23 = 104943349393 is a prime.

It is a super-2 number, since 2×1049433494012 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (104943349601) 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, 3040720 + ... + 3075038.

It is an arithmetic number, because the mean of its divisors is an integer number (5022388800).

Almost surely, 2104943349401 is an apocalyptic number.

104943349401 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

104943349401 is a deficient number, since it is larger than the sum of its proper divisors (55773092199).

104943349401 is a wasteful number, since it uses less digits than its factorization.

104943349401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39229.

The product of its (nonzero) digits is 186624, while the sum is 42.

The spelling of 104943349401 in words is "one hundred four billion, nine hundred forty-three million, three hundred forty-nine thousand, four hundred one".

Divisors: 1 3 11 19 33 57 209 627 4877 14631 34319 53647 92663 102957 160941 277989 377509 652061 1019293 1132527 1956183 3057879 7172671 21518013 167373763 502121289 1841111393 3180101497 5523334179 9540304491 34981116467 104943349401