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103685111608 = 23136116979631
BaseRepresentation
bin110000010010000011…
…1010011111100111000
3100220121222211102000211
41200210013103330320
53144321342032413
6115344323440504
710330261623061
oct1404407237470
9326558742024
10103685111608
113aa775a6a91
1218117b26134
139a1511c760
145038647568
152a6ca0e83d
hex18241d3f38

103685111608 has 64 divisors (see below), whose sum is σ = 212943870720. Its totient is φ = 47037542400.

The previous prime is 103685111599. The next prime is 103685111611. The reversal of 103685111608 is 806111586301.

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 15 ways as a sum of consecutive naturals, for example, 10760953 + ... + 10770583.

It is an arithmetic number, because the mean of its divisors is an integer number (3327247980).

Almost surely, 2103685111608 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 103685111608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106471935360).

103685111608 is an abundant number, since it is smaller than the sum of its proper divisors (109258759112).

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

103685111608 is a wasteful number, since it uses less digits than its factorization.

103685111608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11408 (or 11404 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 40.

Adding to 103685111608 its reverse (806111586301), we get a palindrome (909796697909).

The spelling of 103685111608 in words is "one hundred three billion, six hundred eighty-five million, one hundred eleven thousand, six hundred eight".

Divisors: 1 2 4 8 13 26 52 61 104 122 244 488 793 1586 1697 3172 3394 6344 6788 9631 13576 19262 22061 38524 44122 77048 88244 103517 125203 176488 207034 250406 414068 500812 587491 828136 1001624 1174982 1345721 2349964 2691442 4699928 5382884 7637383 10765768 15274766 16343807 30549532 32687614 61099064 65375228 130750456 212469491 424938982 849877964 996972227 1699755928 1993944454 3987888908 7975777816 12960638951 25921277902 51842555804 103685111608