Search a number
-
+
110414210104 = 231119438318503
BaseRepresentation
bin110011011010100110…
…0110010010000111000
3101112222221211000211001
41212311030302100320
53302112014210404
6122420143414344
710656111205042
oct1466514622070
9345887730731
10110414210104
114290aa41310
12194955b43b4
13a548275443
1454b6206a92
152d136667a4
hex19b5332438

110414210104 has 128 divisors (see below), whose sum is σ = 246206822400. Its totient is φ = 45879039360.

The previous prime is 110414210059. The next prime is 110414210119. The reversal of 110414210104 is 401012414011.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a congruent number.

It is an unprimeable number.

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 in 31 ways as a sum of consecutive naturals, for example, 5958117 + ... + 5976619.

It is an arithmetic number, because the mean of its divisors is an integer number (1923490800).

Almost surely, 2110414210104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110414210104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123103411200).

110414210104 is an abundant number, since it is smaller than the sum of its proper divisors (135792612296).

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

110414210104 is a wasteful number, since it uses less digits than its factorization.

110414210104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18665 (or 18661 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 110414210104 its reverse (401012414011), we get a palindrome (511426624115).

The spelling of 110414210104 in words is "one hundred ten billion, four hundred fourteen million, two hundred ten thousand, one hundred four".

Divisors: 1 2 4 8 11 19 22 38 43 44 76 83 86 88 152 166 172 209 332 344 418 473 664 817 836 913 946 1577 1634 1672 1826 1892 3154 3268 3569 3652 3784 6308 6536 7138 7304 8987 12616 14276 17347 17974 18503 28552 34694 35948 37006 39259 67811 69388 71896 74012 78518 135622 138776 148024 157036 203533 271244 314072 351557 407066 542488 703114 745921 795629 814132 1406228 1491842 1535749 1591258 1628264 2812456 2983684 3071498 3182516 3867127 5967368 6142996 6365032 7734254 8751919 12285992 15116951 15468508 16893239 17503838 29179231 30233902 30937016 33786478 35007676 58358462 60467804 66037207 67572956 70015352 116716924 120935608 132074414 135145912 166286461 233433848 264148828 320971541 332572922 528297656 641943082 665145844 726409277 1254706933 1283886164 1330291688 1452818554 2509413866 2567772328 2905637108 5018827732 5811274216 10037655464 13801776263 27603552526 55207105052 110414210104