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103410120024 = 233219577131009
BaseRepresentation
bin110000001001110111…
…0010011010101011000
3100212220211101101111100
41200103232103111120
53143240442320044
6115301141431400
710320412342251
oct1402356232530
9325824341440
10103410120024
113a946353812
121805ba0b560
1399a0169943
14500dd03b28
152a537e0869
hex1813b93558

103410120024 has 96 divisors (see below), whose sum is σ = 295322742000. Its totient is φ = 32598982656.

The previous prime is 103410119963. The next prime is 103410120049. The reversal of 103410120024 is 420021014301.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 103410119979 and 103410120006.

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 23 ways as a sum of consecutive naturals, for example, 723832 + ... + 854840.

Almost surely, 2103410120024 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 103410120024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147661371000).

103410120024 is an abundant number, since it is smaller than the sum of its proper divisors (191912621976).

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

103410120024 is a wasteful number, since it uses less digits than its factorization.

103410120024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131617 (or 131610 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 103410120024 its reverse (420021014301), we get a palindrome (523431134325).

The spelling of 103410120024 in words is "one hundred three billion, four hundred ten million, one hundred twenty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 456 577 684 1154 1368 1731 2308 3462 4616 5193 6924 10386 10963 13848 20772 21926 32889 41544 43852 65778 87704 98667 131009 131556 197334 262018 263112 393027 394668 524036 786054 789336 1048072 1179081 1572108 2358162 2489171 3144216 4716324 4978342 7467513 9432648 9956684 14935026 19913368 22402539 29870052 44805078 59740104 75592193 89610156 151184386 179220312 226776579 302368772 453553158 604737544 680329737 907106316 1360659474 1436251667 1814212632 2721318948 2872503334 4308755001 5442637896 5745006668 8617510002 11490013336 12926265003 17235020004 25852530006 34470040008 51705060012 103410120024