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104013320404 = 227174310194987
BaseRepresentation
bin110000011011110101…
…1010101000011010100
3100221110212102010212011
41200313223111003110
53201004402223104
6115441050234004
710341355431040
oct1406753250324
9327425363764
10104013320404
1140125898124
12181a9a25904
139a68116146
14506a081020
152a8b741904
hex1837ad50d4

104013320404 has 96 divisors (see below), whose sum is σ = 225652331520. Its totient is φ = 40930831872.

The previous prime is 104013320399. The next prime is 104013320407. The reversal of 104013320404 is 404023310401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104013320407) 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, 20854399 + ... + 20859385.

It is an arithmetic number, because the mean of its divisors is an integer number (2350545120).

Almost surely, 2104013320404 is an apocalyptic number.

104013320404 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104013320404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112826165760).

104013320404 is an abundant number, since it is smaller than the sum of its proper divisors (121639011116).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

104013320404 is a wasteful number, since it uses less digits than its factorization.

104013320404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6077 (or 6075 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 104013320404 its reverse (404023310401), we get a palindrome (508036630805).

The spelling of 104013320404 in words is "one hundred four billion, thirteen million, three hundred twenty thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 43 68 86 119 172 238 301 476 602 731 1019 1204 1462 2038 2924 4076 4987 5117 7133 9974 10234 14266 17323 19948 20468 28532 34646 34909 43817 69292 69818 84779 87634 121261 139636 169558 175268 214441 242522 306719 339116 428882 485044 593453 613438 744889 857764 1186906 1226876 1489778 1501087 2373812 2979556 3002174 3645497 5081753 5214223 6004348 7290994 10163506 10428446 14581988 20327012 20856892 25518479 35572271 51036958 71144542 86389801 102073916 142289084 172779602 218515379 345559204 437030758 604728607 874061516 1209457214 1529607653 2418914428 3059215306 3714761443 6118430612 7429522886 14859045772 26003330101 52006660202 104013320404