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103343005116 = 223313359205031
BaseRepresentation
bin110000000111110111…
…0010001110110111100
3100212202011002121011000
41200033232101312330
53143121302130431
6115250343130300
710315636023051
oct1401756216674
9325664077130
10103343005116
113a91148334a
1218041443990
13998c29b390
145005033028
152a4c9849e6
hex180fb91dbc

103343005116 has 96 divisors (see below), whose sum is σ = 289341158400. Its totient is φ = 31709119680.

The previous prime is 103343005109. The next prime is 103343005147. The reversal of 103343005116 is 611500343301.

103343005116 is a `hidden beast` number, since 10 + 334 + 300 + 5 + 1 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 103343005116.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 401521 + ... + 606551.

It is an arithmetic number, because the mean of its divisors is an integer number (3013970400).

Almost surely, 2103343005116 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 103343005116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144670579200).

103343005116 is an abundant number, since it is smaller than the sum of its proper divisors (185998153284).

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

103343005116 is a wasteful number, since it uses less digits than its factorization.

103343005116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205416 (or 205408 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 103343005116 its reverse (611500343301), we get a palindrome (714843348417).

The spelling of 103343005116 in words is "one hundred three billion, three hundred forty-three million, five thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 359 468 702 718 1077 1404 1436 2154 3231 4308 4667 6462 9334 9693 12924 14001 18668 19386 28002 38772 42003 56004 84006 126009 168012 205031 252018 410062 504036 615093 820124 1230186 1845279 2460372 2665403 3690558 5330806 5535837 7381116 7996209 10661612 11071674 15992418 22143348 23988627 31984836 47977254 71965881 73606129 95954508 143931762 147212258 220818387 287863524 294424516 441636774 662455161 883273548 956879677 1324910322 1913759354 1987365483 2649820644 2870639031 3827518708 3974730966 5741278062 7949461932 8611917093 11482556124 17223834186 25835751279 34447668372 51671502558 103343005116