Search a number
-
+
103887319122 = 23319281360337
BaseRepresentation
bin110000011000000101…
…0101011000001010010
3100221011002022121121000
41200300022223001102
53200230123202442
6115420345442430
710335265433256
oct1406012530122
9327132277530
10103887319122
1140070757534
12181737a0416
139a47c9a782
145057442266
152a80652d4c
hex18302ab052

103887319122 has 64 divisors (see below), whose sum is σ = 243876758400. Its totient is φ = 32689681920.

The previous prime is 103887319099. The next prime is 103887319127. The reversal of 103887319122 is 221913788301.

103887319122 is a `hidden beast` number, since 10 + 388 + 73 + 191 + 2 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (103887319127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 108138 + ... + 468474.

It is an arithmetic number, because the mean of its divisors is an integer number (3810574350).

Almost surely, 2103887319122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103887319122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121938379200).

103887319122 is an abundant number, since it is smaller than the sum of its proper divisors (139989439278).

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

103887319122 is a wasteful number, since it uses less digits than its factorization.

103887319122 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 360648 (or 360642 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 103887319122 in words is "one hundred three billion, eight hundred eighty-seven million, three hundred nineteen thousand, one hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 38 54 57 114 171 281 342 513 562 843 1026 1686 2529 5058 5339 7587 10678 15174 16017 32034 48051 96102 144153 288306 360337 720674 1081011 2162022 3243033 6486066 6846403 9729099 13692806 19458198 20539209 41078418 61617627 101254697 123235254 184852881 202509394 303764091 369705762 607528182 911292273 1822584546 1923839243 2733876819 3847678486 5467753638 5771517729 11543035458 17314553187 34629106374 51943659561 103887319122